IEEE Transactions on Image Processing, ISSN 1057-7149, 02/2017, Volume 26, Issue 2, pp. 994 - 1003

Motivated by the fact that image patches could be inherently represented by matrices, single-image super-resolution is treated as a problem of learning...

Training | Algorithm design and analysis | matrix space | Image resolution | Dictionaries | Single-image super-resolution | matrix-value operator regression | left and right multiplication operators | Matrices | Kernel | Testing | ALGORITHM | DICTIONARY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Regression analysis | Artificial intelligence

Training | Algorithm design and analysis | matrix space | Image resolution | Dictionaries | Single-image super-resolution | matrix-value operator regression | left and right multiplication operators | Matrices | Kernel | Testing | ALGORITHM | DICTIONARY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Regression analysis | Artificial intelligence

Journal Article

Studia Mathematica, ISSN 0039-3223, 2019, Volume 244, pp. 309 - 319

Journal Article

Journal of Experimental Psychology: Learning Memory and Cognition, ISSN 0278-7393, 04/2016, Volume 42, Issue 4, pp. 627 - 635

There is a renewed debate about whether educated adults solve simple addition problems (e.g., 2 + 3) by direct fact retrieval or by fast, automatic...

Individual differences | Strategies | Arithmetic | MULTIPLICATION | strategies | PROCEDURAL KNOWLEDGE | arithmetic | SIMPLE ADDITION | PSYCHOLOGY, EXPERIMENTAL | RETRIEVAL | PSYCHOLOGY | individual differences | Addition | Multiplication | Problem Solving | Priming | Mathematics | Foreign Countries | Generalization | Individual Differences | Experiments | Computation | Saskatchewan (Saskatoon) | Adults | Statistical Analysis | Humans | Mathematical Concepts | Models, Psychological | Repetition Priming | Generalization (Psychology) | Male | Reaction Time | Learning | Young Adult | Adult | Female | Psychological Tests | Usage | Algorithms | Education

Individual differences | Strategies | Arithmetic | MULTIPLICATION | strategies | PROCEDURAL KNOWLEDGE | arithmetic | SIMPLE ADDITION | PSYCHOLOGY, EXPERIMENTAL | RETRIEVAL | PSYCHOLOGY | individual differences | Addition | Multiplication | Problem Solving | Priming | Mathematics | Foreign Countries | Generalization | Individual Differences | Experiments | Computation | Saskatchewan (Saskatoon) | Adults | Statistical Analysis | Humans | Mathematical Concepts | Models, Psychological | Repetition Priming | Generalization (Psychology) | Male | Reaction Time | Learning | Young Adult | Adult | Female | Psychological Tests | Usage | Algorithms | Education

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 06/2019, Volume 353, pp. 283 - 291

In this article, numerical integration is formulated as evaluation of a matrix function of a matrix that is obtained as a projection of the multiplication...

Numerical integration | Matrix function | Gaussian quadrature | Multiplication operator | MATHEMATICS, APPLIED | COMPUTATION | Electrical engineering

Numerical integration | Matrix function | Gaussian quadrature | Multiplication operator | MATHEMATICS, APPLIED | COMPUTATION | Electrical engineering

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 1, pp. 874 - 894

Boundedness and compactness properties of multiplication operators on quantum (non-commutative) function spaces are investigated. For endomorphic...

Orlicz space | Non-commutative | Bounded | Compact | Multiplication operator | Semi-finite | MATHEMATICS | MATHEMATICS, APPLIED

Orlicz space | Non-commutative | Bounded | Compact | Multiplication operator | Semi-finite | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Theory of Computing Systems, ISSN 1432-4350, 7/2019, Volume 63, Issue 5, pp. 1089 - 1130

Entropy games and matrix multiplication games have been recently introduced by Asarin et al. They model the situation in which one player (Despot) wishes to...

Stochastic games | Shapley operators | Computer Science | Theory of Computation | Policy iteration | Risk sensitive control | Perron eigenvalues | ITERATION | CONVEXITY | EXPANSIONS | FINITE-STATE MACHINES | VARIATIONAL FORMULA | MATHEMATICS | RISK-SENSITIVE CONTROL | SETS | COMPLEXITY | COMPUTER SCIENCE, THEORY & METHODS | SIMPLEX | Analysis | Algorithms | Multiplication | Divergence | Games | Iterative algorithms | Entropy | Polynomials | Iterative methods | Mathematics | Optimization and Control

Stochastic games | Shapley operators | Computer Science | Theory of Computation | Policy iteration | Risk sensitive control | Perron eigenvalues | ITERATION | CONVEXITY | EXPANSIONS | FINITE-STATE MACHINES | VARIATIONAL FORMULA | MATHEMATICS | RISK-SENSITIVE CONTROL | SETS | COMPLEXITY | COMPUTER SCIENCE, THEORY & METHODS | SIMPLEX | Analysis | Algorithms | Multiplication | Divergence | Games | Iterative algorithms | Entropy | Polynomials | Iterative methods | Mathematics | Optimization and Control

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2019, Volume 480, Issue 1, p. 123368

Let F be a Banach space of continuous functions over a connected locally compact space X. We present several sufficient conditions on F guaranteeing that the...

Multiplication operators | Surjective isometries | Function spaces | Birkhoff orthogonality | Nearly strictly convex spaces | SPACE | MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | Surjective isometrics | UNITARY | Mathematics - Functional Analysis

Multiplication operators | Surjective isometries | Function spaces | Birkhoff orthogonality | Nearly strictly convex spaces | SPACE | MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | Surjective isometrics | UNITARY | Mathematics - Functional Analysis

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 225 - 232

We give the necessary and/or sufficient conditions for the multiplication operators between two vector valued sequence spaces to be mixing. As a consequence of...

47L20 | Theoretical, Mathematical and Computational Physics | Multiplication operator | 46A45 | Secondary 46B45 | Vector valued Banach sequence spaces | Primary 47B10 | Mathematics, general | Mathematics | Applications of Mathematics | p-Summing linear operators | Mixing linear operators | MATHEMATICS | PROPERTY BETA | Multiplication | Operators | Multiplication & division

47L20 | Theoretical, Mathematical and Computational Physics | Multiplication operator | 46A45 | Secondary 46B45 | Vector valued Banach sequence spaces | Primary 47B10 | Mathematics, general | Mathematics | Applications of Mathematics | p-Summing linear operators | Mixing linear operators | MATHEMATICS | PROPERTY BETA | Multiplication | Operators | Multiplication & division

Journal Article

Communications of the Korean Mathematical Society, ISSN 1225-1763, 2018, Volume 33, Issue 4, pp. 1125 - 1140

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2019, Volume 471, Issue 1-2, pp. 211 - 238

We study power boundedness and related properties such as mean ergodicity for (weighted) composition operators on function spaces defined by local properties....

Strongly continuous semigroups on Fréchet spaces | Weighted composition operator | Mean ergodic operator | Topologizable operator | Kernel of differential operator | Power bounded operator | Frechet spaces | MATHEMATICS | MATHEMATICS, APPLIED | MEAN ERGODICITY | MULTIPLICATION OPERATORS | Strongly continuous semigroups on | Mathematics - Functional Analysis

Strongly continuous semigroups on Fréchet spaces | Weighted composition operator | Mean ergodic operator | Topologizable operator | Kernel of differential operator | Power bounded operator | Frechet spaces | MATHEMATICS | MATHEMATICS, APPLIED | MEAN ERGODICITY | MULTIPLICATION OPERATORS | Strongly continuous semigroups on | Mathematics - Functional Analysis

Journal Article

Computational Mechanics, ISSN 0178-7675, 11/2016, Volume 58, Issue 5, pp. 879 - 888

Fractional derivatives play a very important role in modeling physical phenomena involving long-range correlation effects. However, they raise challenges of...

Engineering | Classical and Continuum Physics | Anomalous diffusion | Differential operator multiplication | Fourier transform | Theoretical and Applied Mechanics | Computational Science and Engineering | Fractional calculus | NUMERICAL SCHEME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYSTEMS | DERIVATIVES | Analysis | Methods | Differential equations

Engineering | Classical and Continuum Physics | Anomalous diffusion | Differential operator multiplication | Fourier transform | Theoretical and Applied Mechanics | Computational Science and Engineering | Fractional calculus | NUMERICAL SCHEME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYSTEMS | DERIVATIVES | Analysis | Methods | Differential equations

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2016, Volume 144, Issue 6, pp. 2495 - 2501

Let W, Y be Dedekind complete Riesz spaces. For A\in L^{r}(Y, Z) B\in L^{r}(W, X) be the two-sided multiplication operator from L^{r}(X, Y) L^r(W,\,Z)...

Riesz space | Two-sided multiplication operator | Banach lattice | Regular operator | MATHEMATICS | two-sided multiplication operator | MATHEMATICS, APPLIED | Banach latticed

Riesz space | Two-sided multiplication operator | Banach lattice | Regular operator | MATHEMATICS | two-sided multiplication operator | MATHEMATICS, APPLIED | Banach latticed

Journal Article

IEEE Signal Processing Letters, ISSN 1070-9908, 09/2009, Volume 16, Issue 9, pp. 751 - 753

A fast algorithm for image classification based on a computationally efficient operator forming a semigroup on real numbers is developed. The new operator does...

Image recognition | Symmetric matrices | Licenses | Covariance matrix | Classification algorithms | Video signal processing | Co-difference matrix | license plate identification | Signal processing algorithms | Computational efficiency | multiplier-less signal processing | Pixel | texture recognition | Image classification | Multiplier-less signal processing | Texture recognition | License plate identification | covariance matrix | ENGINEERING, ELECTRICAL & ELECTRONIC | Operators | Multiplication | Covariance | Mathematical analysis | Images

Image recognition | Symmetric matrices | Licenses | Covariance matrix | Classification algorithms | Video signal processing | Co-difference matrix | license plate identification | Signal processing algorithms | Computational efficiency | multiplier-less signal processing | Pixel | texture recognition | Image classification | Multiplier-less signal processing | Texture recognition | License plate identification | covariance matrix | ENGINEERING, ELECTRICAL & ELECTRONIC | Operators | Multiplication | Covariance | Mathematical analysis | Images

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 7/2019, Volume 42, Issue 4, pp. 1523 - 1534

We calculate the measure of non-compactness of the multiplication operator $$M_u$$ M u acting on non-atomic Köthe spaces. We show that all bounded below...

Köthe spaces | 47B38 | Banach lattice | Multiplication operator | 46E30 | 46B42 | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS | Kothe spaces

Köthe spaces | 47B38 | Banach lattice | Multiplication operator | 46E30 | 46B42 | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS | Kothe spaces

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 09/2016, Volume 299, pp. 41 - 65

Recently, Drygaś generalized nullnorms and t-operators and introduced semi-t-operators by eliminating commutativity from the axioms of t-operators....

Distributivity condition | Semi-t-operator | Fuzzy connectives and aggregation operators | Functional equations | Uninorm | Semi-T-operator | MATHEMATICS, APPLIED | MULTIPLICATION | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Norms | Fuzzy set theory | Axioms | Mathematical analysis

Distributivity condition | Semi-t-operator | Fuzzy connectives and aggregation operators | Functional equations | Uninorm | Semi-T-operator | MATHEMATICS, APPLIED | MULTIPLICATION | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Norms | Fuzzy set theory | Axioms | Mathematical analysis

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2018, Volume 467, Issue 2, pp. 1038 - 1065

In this paper, we consider the Cesàro-mean operator Γ acting on some Banach spaces of measurable functions on (0,1), as well as its discrete version on some...

Compact operator | Cesàro spaces | Cesàro operator | Müntz spaces | Essential norm | Multiplication operator

Compact operator | Cesàro spaces | Cesàro operator | Müntz spaces | Essential norm | Multiplication operator

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2017, Volume 11, Issue 2, pp. 261 - 288

Let $$H({\mathbb {B}})$$ H ( B ) denote the space of all holomorphic functions on the unit ball $${\mathbb {B}}$$ B of $$ {\mathbb {C}}^n$$ C n , $$\psi...

Weighted-type spaces | Composition operator | 32A10 | 47B33 | Mathematics | 32A18 | Operator Theory | 47B38 | Analysis | Multiplication operator | Mathematics, general | The general space | Radial derivative | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MIXED-NORM SPACES | ZYGMUND-TYPE SPACES | H-INFINITY | S) SPACE | MATHEMATICS | DIFFERENTIATION OPERATORS | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ORLICZ SPACES | BERGMAN SPACES

Weighted-type spaces | Composition operator | 32A10 | 47B33 | Mathematics | 32A18 | Operator Theory | 47B38 | Analysis | Multiplication operator | Mathematics, general | The general space | Radial derivative | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MIXED-NORM SPACES | ZYGMUND-TYPE SPACES | H-INFINITY | S) SPACE | MATHEMATICS | DIFFERENTIATION OPERATORS | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ORLICZ SPACES | BERGMAN SPACES

Journal Article

Communications in Algebra, ISSN 0092-7872, 04/2017, Volume 45, Issue 4, pp. 1443 - 1451

A well-known theorem factors a scalar coefficient differential operator given a linearly independent set of functions in its kernel. The goal of this paper is...

skew derivations | Wronskian | Endomorphism | operator factorization | MATHEMATICS | FACTORIZATION | DIFFERENTIAL-OPERATORS | Kernels | Functions (mathematics) | Operators (mathematics) | Multiplication | Algebra | Mathematical analysis | Differential equations | Matrix methods | Matrices (mathematics) | Derivation | Scalars | Rings (mathematics)

skew derivations | Wronskian | Endomorphism | operator factorization | MATHEMATICS | FACTORIZATION | DIFFERENTIAL-OPERATORS | Kernels | Functions (mathematics) | Operators (mathematics) | Multiplication | Algebra | Mathematical analysis | Differential equations | Matrix methods | Matrices (mathematics) | Derivation | Scalars | Rings (mathematics)

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2015, Volume 2015, Issue 1, pp. 1 - 19

Let H(D) denote the space of all analytic functions on the unit disc D of the complex plane C, psi(1), psi(2) is an element of H(D), and phi be an analytic...

differentiation operator | composition operator | multiplication operator | logarithmic Bloch space | Hardy space | MATHEMATICS, APPLIED | MULTIPLICATION | MIXED-NORM SPACES | H-INFINITY | UNIT BALL | MATHEMATICS | WEIGHTED-TYPE SPACES | DIFFERENTIATION COMPOSITION OPERATORS | PRODUCTS | GENERALIZED COMPOSITION OPERATORS | ZYGMUND SPACES | BERGMAN SPACES | Discs | Operators | Planes | Analytic functions | Mathematical analysis | Inequalities | Texts | Disks

differentiation operator | composition operator | multiplication operator | logarithmic Bloch space | Hardy space | MATHEMATICS, APPLIED | MULTIPLICATION | MIXED-NORM SPACES | H-INFINITY | UNIT BALL | MATHEMATICS | WEIGHTED-TYPE SPACES | DIFFERENTIATION COMPOSITION OPERATORS | PRODUCTS | GENERALIZED COMPOSITION OPERATORS | ZYGMUND SPACES | BERGMAN SPACES | Discs | Operators | Planes | Analytic functions | Mathematical analysis | Inequalities | Texts | Disks

Journal Article

Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, 3/2019, Volume 10, Issue 1, pp. 121 - 131

In this short note we show results on the compactness of the commutator of pseudodifferential operator and operator of multiplication in both $$\mathrm{L}^2$$...

Operator Theory | Commutator | Algebra | Pseudodifferential operator | Functional Analysis | Analysis | Compactness | 47G30 | Mathematics | Applications of Mathematics | Partial Differential Equations | 35S05 | MATHEMATICS | MATHEMATICS, APPLIED | Commutative law (Mathematics) | Multiplication | Research | Mathematical research | Mappings (Mathematics)

Operator Theory | Commutator | Algebra | Pseudodifferential operator | Functional Analysis | Analysis | Compactness | 47G30 | Mathematics | Applications of Mathematics | Partial Differential Equations | 35S05 | MATHEMATICS | MATHEMATICS, APPLIED | Commutative law (Mathematics) | Multiplication | Research | Mathematical research | Mappings (Mathematics)

Journal Article

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