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

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 1, pp. 628 - 640

Let A be a prime unital C⁎-algebra, X a countably generated Hillbert A-module, B(X) the C⁎-algebra of adjointable operators on X and K(X) the C⁎-algebra of...

Hilbert [formula omitted]-module | Elementary operator | Prime [formula omitted]-algebra | Multiplication operator | MATHEMATICS | WEAK COMPACTNESS | MATHEMATICS, APPLIED | Prime C-algebra | Hilbert C-module

Hilbert [formula omitted]-module | Elementary operator | Prime [formula omitted]-algebra | Multiplication operator | MATHEMATICS | WEAK COMPACTNESS | MATHEMATICS, APPLIED | Prime C-algebra | Hilbert C-module

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 3/2017, Volume 87, Issue 3, pp. 435 - 460

Given $$\alpha \in (0,2]$$ α ∈ ( 0 , 2 ] , the $$C^*$$ C ∗ -algebra $${{\mathfrak {A}}}_{\mathbb {K}_\alpha ,n,m}$$ A K α , n , m generated by the identity...

47L30 | Secondary 47G10 | Analysis | Sector | Invertibility | Primary 47L15 | Mathematics | C^$$ C ∗ -algebra | Poly-Bergman and anti-poly-Bergman projections | Symbol calculus | algebra | MULTIPLICATION | SPACES | SINGULAR INTEGRAL-OPERATORS | PIECEWISE CONTINUOUS-FUNCTIONS | MATHEMATICS | SYMBOLS | PROJECTIONS | DOMAINS | C-algebra | CONTINUOUS COEFFICIENTS | Algebra

47L30 | Secondary 47G10 | Analysis | Sector | Invertibility | Primary 47L15 | Mathematics | C^$$ C ∗ -algebra | Poly-Bergman and anti-poly-Bergman projections | Symbol calculus | algebra | MULTIPLICATION | SPACES | SINGULAR INTEGRAL-OPERATORS | PIECEWISE CONTINUOUS-FUNCTIONS | MATHEMATICS | SYMBOLS | PROJECTIONS | DOMAINS | C-algebra | CONTINUOUS COEFFICIENTS | Algebra

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

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

Integral Equations and Operator Theory, ISSN 0378-620X, 6/2019, Volume 91, Issue 3, pp. 1 - 25

Let G be an amenable discrete group of orientation-preserving piecewise smooth homeomorphisms $$g:\mathbb {T}\rightarrow \mathbb {T}$$ g:T→T , with finite sets...

Shift | Amenable group | Invertibility | Mathematics | Functional operator | C^$$ C ∗ -algebra | Secondary 47B33 | Piecewise quasicontinuous function | 47B38 | 47C15 | 47L40 | Analysis | Primary 39B32 | MATHEMATICS | SET | SINGULAR INTEGRAL-OPERATORS | C-algebra

Shift | Amenable group | Invertibility | Mathematics | Functional operator | C^$$ C ∗ -algebra | Secondary 47B33 | Piecewise quasicontinuous function | 47B38 | 47C15 | 47L40 | Analysis | Primary 39B32 | MATHEMATICS | SET | SINGULAR INTEGRAL-OPERATORS | C-algebra

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2018, Volume 461, Issue 2, pp. 1100 - 1114

Čučković and Paudyal characterized the lattice of invariant subspaces of the operator T in the Hardy–Hilbert space H2(D), where they studied the special case...

Shift operator | Multiplication operator | Volterra operator | Hardy space

Shift operator | Multiplication operator | Volterra operator | Hardy space

Journal Article

Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 12/2017, Volume 57, Issue 12, pp. 1887 - 1898

For matrices whose elements are scalar linear difference operators, algorithms for checking invertibility (unimodularity) and constructing an inverse matrix...

Computational Mathematics and Numerical Analysis | operator matrix | complexity of algorithms | unimodularity recognition | difference operator | Mathematics | unimodular matrix | inverse matrix construction | MATRIX | MATHEMATICS, APPLIED | MULTIPLICATION | PHYSICS, MATHEMATICAL | POLYNOMIALS | ELIMINATIONS | SYSTEMS | COMPUTATION | Computer science | Algorithms | Inverse matrices | Operators | Mathematical analysis | Matrix methods

Computational Mathematics and Numerical Analysis | operator matrix | complexity of algorithms | unimodularity recognition | difference operator | Mathematics | unimodular matrix | inverse matrix construction | MATRIX | MATHEMATICS, APPLIED | MULTIPLICATION | PHYSICS, MATHEMATICAL | POLYNOMIALS | ELIMINATIONS | SYSTEMS | COMPUTATION | Computer science | Algorithms | Inverse matrices | Operators | Mathematical analysis | Matrix methods

Journal Article

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

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

. Our results generalize the related results of Synnatzschke and Wickstead, respectively.]]>

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

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, ISSN 0304-9914, 03/2019, Volume 56, Issue 2, pp. 523 - 537

We estimate the essential norms of Volterra-type integral operators V-g and I-g, and multiplication operators M-g with holomorphic symbols g on a large class...

generalized Fock spaces | MATHEMATICS | essential norm | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | composition operator | multiplication operator | SPACES | VOLTERRA-TYPE | Volterra-type integral operator

generalized Fock spaces | MATHEMATICS | essential norm | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | composition operator | multiplication operator | SPACES | VOLTERRA-TYPE | Volterra-type integral operator

Journal Article

Journal of Operator Theory, ISSN 0379-4024, 2016, Volume 75, Issue 2, pp. 289 - 298

Let R be a rational function of degree at least two, let J(R) be the Julia set of R and let mu(L) be the Lyubich measure of R. We study the C*-algebra MCR...

Complex dynamical system | Frobenius-Perron operator | Multiplication operator | C-algebra | Composition operator | MATHEMATICS | TOEPLITZ | multiplication operator | DYNAMICAL-SYSTEMS | complex dynamical system | FINITE BLASCHKE PRODUCTS

Complex dynamical system | Frobenius-Perron operator | Multiplication operator | C-algebra | Composition operator | MATHEMATICS | TOEPLITZ | multiplication operator | DYNAMICAL-SYSTEMS | complex dynamical system | FINITE BLASCHKE PRODUCTS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 966 - 977

Let D be the open unit disk in the complex plane, φ an analytic self-map of D and ψ an analytic function on D. Let Dn be the nth differentiation operator and...

Bloch–Orlicz spaces | Compactness | Weighted Bergman–Orlicz spaces | Boundedness | Generalized product-type operators | Bloch-Orlicz spaces | Weighted Bergman-Orlicz spaces | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MULTIPLICATION | MIXED-NORM SPACE | H-INFINITY | ANALYTIC-FUNCTIONS | UNIT BALL | DIFFERENTIATION OPERATORS | ZYGMUND SPACES | AREA NEVANLINNA SPACES | BERS-TYPE SPACES

Bloch–Orlicz spaces | Compactness | Weighted Bergman–Orlicz spaces | Boundedness | Generalized product-type operators | Bloch-Orlicz spaces | Weighted Bergman-Orlicz spaces | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MULTIPLICATION | MIXED-NORM SPACE | H-INFINITY | ANALYTIC-FUNCTIONS | UNIT BALL | DIFFERENTIATION OPERATORS | ZYGMUND SPACES | AREA NEVANLINNA SPACES | BERS-TYPE SPACES

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 02/2019, Volume 13, Issue 1, pp. 151 - 192

For any simply connected domain UC with a piecewise Dini-smooth boundary U which admits Dini-smooth corners of openings lying in (0,2], the C-algebra...

Dini-smooth corner | algebra | Bergman and anti-Bergman projections | Piecewise continuous function | Fredholm symbol calculus | Fredholmness | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICATION | PROJECTIONS | C-algebra | Algebra

Dini-smooth corner | algebra | Bergman and anti-Bergman projections | Piecewise continuous function | Fredholm symbol calculus | Fredholmness | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICATION | PROJECTIONS | C-algebra | Algebra

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

Mathematische Nachrichten, ISSN 0025-584X, 10/2019, Volume 292, Issue 10, pp. 2203 - 2211

Let BX be a bounded symmetric domain realized as the open unit ball of a finite dimensional JB*‐triple X. In this paper, we characterize the bounded weighted...

composition operator | bounded symmetric domain | 32M15 | α‐Bloch mapping | JB‐triple | 32A18 | WEIGHTED COMPOSITION OPERATORS | LINEARLY INVARIANT FAMILIES | DISTORTION-THEOREMS | H-INFINITY | JB-triple | UNIT BALL | MATHEMATICS | BOUNDED SYMMETRIC DOMAINS | NORM | HOLOMORPHIC MAPPINGS | alpha-Bloch mapping

composition operator | bounded symmetric domain | 32M15 | α‐Bloch mapping | JB‐triple | 32A18 | WEIGHTED COMPOSITION OPERATORS | LINEARLY INVARIANT FAMILIES | DISTORTION-THEOREMS | H-INFINITY | JB-triple | UNIT BALL | MATHEMATICS | BOUNDED SYMMETRIC DOMAINS | NORM | HOLOMORPHIC MAPPINGS | alpha-Bloch mapping

Journal Article

Information Sciences, ISSN 0020-0255, 2007, Volume 177, Issue 14, pp. 2906 - 2924

We introduce the addition, subtraction, multiplication and division on L I , where L I is the underlying lattice of both interval-valued fuzzy set theory [R....

Addition | Multiplication | Subtraction | t-Norm on [formula omitted] | Product | Arithmetic operators on [formula omitted] | Sum | Difference | Quotient | t-Norm on L | Arithmetic operators on L | product | IMPLICATORS | t-norm on L-1 | COMPUTER SCIENCE, INFORMATION SYSTEMS | arithmetic operators on L-1 | subtraction | QUANTIFIERS | sum | LOGIC | TRIANGULAR NORMS | PRODUCT LATTICES | quotient | difference | multiplication | T-NORMS | INTUITIONISTIC FUZZY | addition

Addition | Multiplication | Subtraction | t-Norm on [formula omitted] | Product | Arithmetic operators on [formula omitted] | Sum | Difference | Quotient | t-Norm on L | Arithmetic operators on L | product | IMPLICATORS | t-norm on L-1 | COMPUTER SCIENCE, INFORMATION SYSTEMS | arithmetic operators on L-1 | subtraction | QUANTIFIERS | sum | LOGIC | TRIANGULAR NORMS | PRODUCT LATTICES | quotient | difference | multiplication | T-NORMS | INTUITIONISTIC FUZZY | addition

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 02/2018, Volume 332, pp. 56 - 73

In this study, we consider the functional equation of modularity in a special class of aggregation operators with an absorbing element. First, we focus on the...

Aggregation operation | 2-Uninorm | Dual aggregation operation | Modularity equation | Nullnorm | Uninorm | MATHEMATICS, APPLIED | MULTIPLICATION | PROPERTY | EQUATIONS | STATISTICS & PROBABILITY | DISTRIBUTIVITY | UNINORMS | COMPUTER SCIENCE, THEORY & METHODS

Aggregation operation | 2-Uninorm | Dual aggregation operation | Modularity equation | Nullnorm | Uninorm | MATHEMATICS, APPLIED | MULTIPLICATION | PROPERTY | EQUATIONS | STATISTICS & PROBABILITY | DISTRIBUTIVITY | UNINORMS | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

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