2013, De Gruyter studies in mathematics, ISBN 9783110263404, Volume 49, xi, 372

Book

2005, Princeton lectures in analysis, ISBN 9787506282383, Volume 3, xix, 402 pages

Book

2016, Volume 679

General theory of linear operators | Other Dirichlet series and zeta functions | Completeness of eigenfunctions, eigenfunction expansions | Analytic functions | Functions of a complex variable | Partial differential equations | Spaces and algebras of analytic functions | Cyclic vectors, hypercyclic and chaotic operators | Bounded analytic functions | Spectral theory and eigenvalue problems | Operator theory | Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) | Special classes of linear operators | Bergman spaces, Fock spaces | Analytic spaces | Zeta and $L$-functions: analytic theory | Number theory

Conference Proceeding

2003, 2nd ed., Pure and applied mathematics, ISBN 9780120441433, Volume 140, xiii, 305

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces...

Sobolev spaces

Sobolev spaces

Book

Advances in Mathematics, ISSN 0001-8708, 07/2017, Volume 314, pp. 806 - 834

We consider box spaces of finitely generated, residually finite groups G, and try to distinguish them up to coarse equivalence...

Expander graphs | Graph diameter | Cayley graphs | Residually finite groups | Box spaces | Coarse geometry | QUASI-ISOMETRIC RIGIDITY | MATHEMATICS | SYMMETRIC-SPACES | PROPERTY | HILBERT-SPACE

Expander graphs | Graph diameter | Cayley graphs | Residually finite groups | Box spaces | Coarse geometry | QUASI-ISOMETRIC RIGIDITY | MATHEMATICS | SYMMETRIC-SPACES | PROPERTY | HILBERT-SPACE

Journal Article

The Annals of probability, ISSN 0091-1798, 2013, Volume 41, Issue 5, pp. 3284 - 3305

We extend the theory of distance (Brownian) covariance from Euclidean spaces, where it was...

Embeddings | Covariance | Center of gravity | Separable spaces | Hilbert spaces | Fourier transformations | Euclidean space | Mathematical moments | Random variables | Hypothesis testing | Distance correlation | Brownian covariance | Negative type | Independence | POSITIVE-DEFINITE FUNCTIONS | hypothesis testing | STATISTICS & PROBABILITY | independence | distance correlation | 62H15 | 30L05 | 62G20 | 62H20 | 51K99

Embeddings | Covariance | Center of gravity | Separable spaces | Hilbert spaces | Fourier transformations | Euclidean space | Mathematical moments | Random variables | Hypothesis testing | Distance correlation | Brownian covariance | Negative type | Independence | POSITIVE-DEFINITE FUNCTIONS | hypothesis testing | STATISTICS & PROBABILITY | independence | distance correlation | 62H15 | 30L05 | 62G20 | 62H20 | 51K99

Journal Article

7.
Full Text
A new system of variational inclusions with ( H, η)-monotone operators in hilbert spaces

Computers and Mathematics with Applications, ISSN 0898-1221, 2005, Volume 49, Issue 2, pp. 365 - 374

...)-monotone operators in Hilbert space. Using the resolvent operator associated with ( H, η)-monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions...

Iterative algorithm | System of variational inclusion | Resolvent operator technique | ( H, η)-monotone operator | (H, η)-monotone operator | (H,eta)-monotone operator | MATHEMATICS, APPLIED | resolvent operator technique | MANN | system of variational inclusion | PERTURBED ITERATIVE ALGORITHMS | iterative algorithm | Operators | Algorithms | Approximation | Uniqueness | Hilbert space | Mathematical models | Inclusions | Convergence

Iterative algorithm | System of variational inclusion | Resolvent operator technique | ( H, η)-monotone operator | (H, η)-monotone operator | (H,eta)-monotone operator | MATHEMATICS, APPLIED | resolvent operator technique | MANN | system of variational inclusion | PERTURBED ITERATIVE ALGORITHMS | iterative algorithm | Operators | Algorithms | Approximation | Uniqueness | Hilbert space | Mathematical models | Inclusions | Convergence

Journal Article

The European Physical Journal C, ISSN 1434-6044, 11/2018, Volume 78, Issue 11, pp. 1 - 10

We discuss properties of fuzzy de Sitter space defined by means of algebra of the de...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | UNITARY REPRESENTATIONS | PHYSICS, PARTICLES & FIELDS | Algebra | Hilbert space | Representations | Physics - High Energy Physics - Theory

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | UNITARY REPRESENTATIONS | PHYSICS, PARTICLES & FIELDS | Algebra | Hilbert space | Representations | Physics - High Energy Physics - Theory

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 11

In this paper, an iterative algorithm is introduced to solve the split common fixed point problem for asymptotically nonexpansive mappings in Hilbert spaces...

Analysis | Mathematics, general | split common fixed point problem | Mathematics | Hilbert space | Applications of Mathematics | asymptotically nonexpansive mapping | strong convergence | algorithm | MATHEMATICS | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | SETS | CQ ALGORITHM | Theorems | Fixed points (mathematics) | Asymptotic properties | Inequalities | Iterative algorithms | Mapping | Convergence

Analysis | Mathematics, general | split common fixed point problem | Mathematics | Hilbert space | Applications of Mathematics | asymptotically nonexpansive mapping | strong convergence | algorithm | MATHEMATICS | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | SETS | CQ ALGORITHM | Theorems | Fixed points (mathematics) | Asymptotic properties | Inequalities | Iterative algorithms | Mapping | Convergence

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 11/2017, Volume 273, Issue 9, pp. 2994 - 3001

... of a complex Hilbert space which preserves the transition probability is induced by a unitary or an antiunitary operator...

Transition probability | Grassmann space | Rank-n projections | Isometries | SET | N-DIMENSIONAL SUBSPACES | Isometries Grassmann space | MATHEMATICS | VERSION | INNER-PRODUCT SPACES | PRINCIPAL ANGLES | HILBERT-SPACE | SYMMETRY TRANSFORMATIONS | PROJECTIONS | ISOMETRIES | ORTHOGONALITY PRESERVING TRANSFORMATIONS | Quantum theory

Transition probability | Grassmann space | Rank-n projections | Isometries | SET | N-DIMENSIONAL SUBSPACES | Isometries Grassmann space | MATHEMATICS | VERSION | INNER-PRODUCT SPACES | PRINCIPAL ANGLES | HILBERT-SPACE | SYMMETRY TRANSFORMATIONS | PROJECTIONS | ISOMETRIES | ORTHOGONALITY PRESERVING TRANSFORMATIONS | Quantum theory

Journal Article

2014, Graduate studies in mathematics, ISBN 0821891715, Volume 156, xviii, 372 pages

Book

IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2010, Volume 56, Issue 11, pp. 5839 - 5846

This paper presents a general coding method where data in a Hilbert space are represented by finite dimensional coding vectors...

estimation bounds | Empirical risk minimization | statistical learning | Extraterrestrial measurements | Encoding | Hilbert space | Vectors | Complexity theory | Sparse matrices | K -means clustering and vector quantization | Principal component analysis | estimation bounds K-means clustering and vector quantization | K-means clustering and vector quantization | MATRIX | GENERALIZATION ERROR | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Coding theory | Usage | Functions of bounded variation | Analysis | Estimation theory | Vector spaces | Methods | Reconstruction | Coding | Mathematical analysis | Vectors (mathematics) | Factorization | Linear operators | Optimization

estimation bounds | Empirical risk minimization | statistical learning | Extraterrestrial measurements | Encoding | Hilbert space | Vectors | Complexity theory | Sparse matrices | K -means clustering and vector quantization | Principal component analysis | estimation bounds K-means clustering and vector quantization | K-means clustering and vector quantization | MATRIX | GENERALIZATION ERROR | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Coding theory | Usage | Functions of bounded variation | Analysis | Estimation theory | Vector spaces | Methods | Reconstruction | Coding | Mathematical analysis | Vectors (mathematics) | Factorization | Linear operators | Optimization

Journal Article

2006, ISBN 9812565639, x, 136

Book

Communications in Contemporary Mathematics, ISSN 0219-1997, 09/2018, Volume 20, Issue 6, p. 1750061

The aim of this paper is to investigate the closed subschemes of moduli spaces corresponding to projective varieties which admit an effective action by a given finite group G...

Canonical models | GIT | Hilbert scheme | G-marked family | Moduli space | MATHEMATICS, APPLIED | CANONICAL SINGULARITIES | FREENESS | BUNDLES | canonical models | MATSUSAKA BIG THEOREM | VARIETIES | YOUNG PERSONS GUIDE | MATHEMATICS | GENERAL TYPE | SURFACES | Mathematics - Algebraic Geometry

Canonical models | GIT | Hilbert scheme | G-marked family | Moduli space | MATHEMATICS, APPLIED | CANONICAL SINGULARITIES | FREENESS | BUNDLES | canonical models | MATSUSAKA BIG THEOREM | VARIETIES | YOUNG PERSONS GUIDE | MATHEMATICS | GENERAL TYPE | SURFACES | Mathematics - Algebraic Geometry

Journal Article

Journal of functional analysis, ISSN 0022-1236, 2016, Volume 271, Issue 7, pp. 1844 - 1920

The theory of positive kernels and associated reproducing kernel Hilbert spaces, especially in the setting of holomorphic functions, has been an important tool for the last several decades in a number...

Contractive multiplier | Reproducing kernel Hilbert space | Completely positive and completely bounded maps | Free noncommutative function | HARDY ALGEBRAS | CORRESPONDENCES | INTERPOLATION | MATHEMATICS | MAPS | PRODUCT | HOLOMORPHIC-FUNCTIONS | VARIABLES | MULTIDIMENSIONAL LINEAR-SYSTEMS | OPERATORS | Mathematical optimization | Analysis

Contractive multiplier | Reproducing kernel Hilbert space | Completely positive and completely bounded maps | Free noncommutative function | HARDY ALGEBRAS | CORRESPONDENCES | INTERPOLATION | MATHEMATICS | MAPS | PRODUCT | HOLOMORPHIC-FUNCTIONS | VARIABLES | MULTIDIMENSIONAL LINEAR-SYSTEMS | OPERATORS | Mathematical optimization | Analysis

Journal Article

16.
Full Text
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces

Inverse problems, ISSN 1361-6420, 2010, Volume 26, Issue 10, pp. 105018 - 105018

... spaces H-1 and H-2, respectively, and A is a bounded linear operator from H-1 to H-2. The SFP models inverse problems arising from phase retrieval problems...

PROJECTION | MATHEMATICS, APPLIED | LINEAR INVERSE PROBLEMS | SETS | CQ ALGORITHM | PHYSICS, MATHEMATICAL | OPERATORS | Algorithms | Half spaces | Inverse problems | Feasibility | Hilbert space | Iterative methods | Optimization | Convergence

PROJECTION | MATHEMATICS, APPLIED | LINEAR INVERSE PROBLEMS | SETS | CQ ALGORITHM | PHYSICS, MATHEMATICAL | OPERATORS | Algorithms | Half spaces | Inverse problems | Feasibility | Hilbert space | Iterative methods | Optimization | Convergence

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 8/2012, Volume 2012, pp. 1 - 11

...)-normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators T:ℋ→ℋ, where ℋ is Hilbert space.

MATHEMATICS | MATHEMATICS, APPLIED | Studies | Hilbert space | Algebra | Inequality | Norms | Operators | Linear operators | Inequalities

MATHEMATICS | MATHEMATICS, APPLIED | Studies | Hilbert space | Algebra | Inequality | Norms | Operators | Linear operators | Inequalities

Journal Article

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, ISSN 0219-8878, 05/2019, Volume 16, Issue 5

An orthogonality space is a set endowed with a symmetric, irreflexive binary relation...

orthogonality space | orthomodular lattice | THEOREM | orthomodular space over an ordered star-field | QUANTUM | Characterization of the complex Hilbert space | PHYSICS, MATHEMATICAL

orthogonality space | orthomodular lattice | THEOREM | orthomodular space over an ordered star-field | QUANTUM | Characterization of the complex Hilbert space | PHYSICS, MATHEMATICAL

Journal Article

Advances in Mathematics, ISSN 0001-8708, 10/2019, Volume 355, p. 106738

We prove existence of wide types in a continuous theory expanding a Banach space, and density of minimal wide types among stable types in such a...

Categoricity | Hilbert spaces | Stability | Banach spaces | Wide types | Continuous model theory | MATHEMATICS | MODEL THEORETIC STABILITY | GENERIC STABILITY | FORKING

Categoricity | Hilbert spaces | Stability | Banach spaces | Wide types | Continuous model theory | MATHEMATICS | MODEL THEORETIC STABILITY | GENERIC STABILITY | FORKING

Journal Article

Georgian mathematical journal, ISSN 1572-9176, 2018, Volume 25, Issue 2, pp. 291 - 302

We introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g...

Hardy operator | maximal operator | 42B25 | convolution operator | 46A45 | Grand Lebesgue sequence space | Hilbert transform, fractional operator | 42B05 | Hilbert transform | fractional operator | FRACTIONAL INTEGRALS | MATHEMATICS | INEQUALITIES | BOUNDEDNESS | WEIGHT | OPERATORS

Hardy operator | maximal operator | 42B25 | convolution operator | 46A45 | Grand Lebesgue sequence space | Hilbert transform, fractional operator | 42B05 | Hilbert transform | fractional operator | FRACTIONAL INTEGRALS | MATHEMATICS | INEQUALITIES | BOUNDEDNESS | WEIGHT | OPERATORS

Journal Article

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