1991, Translations of mathematical monographs, ISBN 0821845462, Volume 86, iv, 123

Book

1997, Operator theory, advances and applications, ISBN 3764354011, Volume 94., viii, 156

Book

2018, Universitext, ISBN 9783319920030, 1

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including...

Operator Theory | Mathematics | Functional Analysis | Measure and Integration | Real Functions

Operator Theory | Mathematics | Functional Analysis | Measure and Integration | Real Functions

eBook

Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 471, Issue 1-2, pp. 38 - 52

We extend the result of B. Cascales et al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit sphere...

Unit ball | Expand-contract plastic space | Non-expansive map | MATHEMATICS | MATHEMATICS, APPLIED

Unit ball | Expand-contract plastic space | Non-expansive map | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

2004, 1st ed., North-Holland mathematics studies, ISBN 9780444513731, Volume 197, 342

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv...

Functional analysis | Mathematics | Congresses

Functional analysis | Mathematics | Congresses

eBook

2018, Lecture Notes in Mathematics, ISBN 3319713329, Volume 2205, 176

Lecture Notes in Mathematics 2205, Springer, 2018 The aim of this manuscript is to study \emph{spear operators}: bounded linear operators $G$ between Banach...

Analysis | Mathematics | Mathematics - Functional Analysis

Analysis | Mathematics | Mathematics - Functional Analysis

eBook

Journal of mathematical analysis and applications, ISSN 0022-247X, 2016, Volume 435, Issue 2, pp. 1812 - 1815

In this short note, we prove that for a dense set A⊂X (X is a Banach space) there is a non-trivial closed subspace M⊂X such that A∩M is dense in M. We use this...

Hypercyclicity | Subspace-hypercyclicity | MATHEMATICS | MATHEMATICS, APPLIED | VECTORS

Hypercyclicity | Subspace-hypercyclicity | MATHEMATICS | MATHEMATICS, APPLIED | VECTORS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 02/2018, Volume 274, Issue 3, pp. 863 - 888

The Bishop–Phelps–Bollobás property deals with simultaneous approximation of an operator T and a vector x at which T nearly attains its norm by an operator T0...

Asplund operators | Bishop–Phelps–Bollobás | Uniform algebra | Norm attaining | MATHEMATICS | Bishop-Phelps-Bollobas | CONJUGATE BANACH-SPACES | RADON-NIKODYM PROPERTY | FRAGMENTABILITY | ASPLUND SPACES

Asplund operators | Bishop–Phelps–Bollobás | Uniform algebra | Norm attaining | MATHEMATICS | Bishop-Phelps-Bollobas | CONJUGATE BANACH-SPACES | RADON-NIKODYM PROPERTY | FRAGMENTABILITY | ASPLUND SPACES

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 02/2018, Volume 274, Issue 3, pp. 889 - 899

We study geometric properties of the Banach space R constructed recently by C. Read [8] which does not contain proximinal subspaces of finite codimension...

Norm attaining functionals | Strict convexity | Banach space | Proximinal subspace | MATHEMATICS | FUNCTIONALS | Mathematics - Functional Analysis

Norm attaining functionals | Strict convexity | Banach space | Proximinal subspace | MATHEMATICS | FUNCTIONALS | Mathematics - Functional Analysis

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 2, pp. 1221 - 1231

We study ideals I on N satisfying the following Baire-type property: if X is a complete metric space and{XA:A∈I}is a family of nowhere dense subsets of X...

Ideal of sets | Nowhere dense | Analytic set | Baire theorem | MATHEMATICS | ANALYTIC IDEALS | MATHEMATICS, APPLIED | BANACH-SPACES | Mathematics - Functional Analysis

Ideal of sets | Nowhere dense | Analytic set | Baire theorem | MATHEMATICS | ANALYTIC IDEALS | MATHEMATICS, APPLIED | BANACH-SPACES | Mathematics - Functional Analysis

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2014, Volume 412, Issue 2, pp. 697 - 719

We introduce two Bishop–Phelps–Bollobás moduli of a Banach space which measure, for a given Banach space, what is the best possible Bishop–Phelps–Bollobás...

Uniformly non-square spaces | Approximation | Banach space | Bounded linear operator | MATHEMATICS | MATHEMATICS, APPLIED

Uniformly non-square spaces | Approximation | Banach space | Bounded linear operator | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Canadian journal of mathematics, ISSN 0008-414X, 12/2019, Volume 71, Issue 6, pp. 1421 - 1443

We study approximation of operators between Banach spaces $X$ and $Y$ that nearly attain their norms in a given point by operators that attain their norms at...

Article | MATHEMATICS | norm-attaining operator | THEOREM | CONVEXITY | SPACES | Banach space | Bishop-Phelps-Bollobas property

Article | MATHEMATICS | norm-attaining operator | THEOREM | CONVEXITY | SPACES | Banach space | Bishop-Phelps-Bollobas property

Journal Article

Indian Journal of Pure and Applied Mathematics, ISSN 0019-5588, 6/2018, Volume 49, Issue 2, pp. 189 - 204

... ⁄⁄ Department of Mathematics and Informatics, Kharkiv V .N. Karazin National University, 61022 Kharkiv, Ukraine ⁄⁄⁄ Department of Mathematics, Jadavpur University, Kolkata...

strict convexity | farthest point | Numerical Analysis | Mathematics, general | Mathematics | Applications of Mathematics | uniform convexity | Chebyshev center | MATHEMATICS | SETS | Fuzzy sets | Mathematical research | Set theory | Convex functions | Research | Banach spaces | Mathematical optimization

strict convexity | farthest point | Numerical Analysis | Mathematics, general | Mathematics | Applications of Mathematics | uniform convexity | Chebyshev center | MATHEMATICS | SETS | Fuzzy sets | Mathematical research | Set theory | Convex functions | Research | Banach spaces | Mathematical optimization

Journal Article

Advances in Mathematics, ISSN 0001-8708, 06/2013, Volume 240, pp. 370 - 382

This paper is devoted to showing that Asplund operators with range in a uniform Banach algebra have the Bishop–Phelps–Bollobás property, i.e., they are...

Bollobás | Asplund operator | Uniform Banach algebra | Urysohn lemma | Bishop–Phelps | Norm attaining | Peak functions | Bishop-Phelps | Bollobas | MATHEMATICS | CONJUGATE BANACH-SPACES | RADON-NIKODYM PROPERTY | OPERATORS | Algebra

Bollobás | Asplund operator | Uniform Banach algebra | Urysohn lemma | Bishop–Phelps | Norm attaining | Peak functions | Bishop-Phelps | Bollobas | MATHEMATICS | CONJUGATE BANACH-SPACES | RADON-NIKODYM PROPERTY | OPERATORS | Algebra

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2015, Volume 143, Issue 12, pp. 5281 - 5292

We introduce a substitute for the concept of slice for the case of non-linear Lipschitz functionals and transfer to the non-linear case some results about the...

SCD space | Lipschitz operator | Daugavet equation | Numerical index | Numerical radius | Daugavet property | MATHEMATICS, APPLIED | PROPERTY | MATHEMATICS | numerical index | BANACH-SPACES | DUALITY | LUSHNESS | NUMERICAL INDEX ONE | Mathematics - Functional Analysis

SCD space | Lipschitz operator | Daugavet equation | Numerical index | Numerical radius | Daugavet property | MATHEMATICS, APPLIED | PROPERTY | MATHEMATICS | numerical index | BANACH-SPACES | DUALITY | LUSHNESS | NUMERICAL INDEX ONE | Mathematics - Functional Analysis

Journal Article

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, ISSN 1474-7480, 01/2020, Volume 19, Issue 1, pp. 259 - 279

... NONLINEABLE SET OF NORM ATTAINING FUNCTIONALS VLADIMIR KADETS1, GINÉS LÓPEZ2, MIGUEL MARTÍN2 AND DIRK WERNER3 1School of Mathematics and Informatics, V. N. Karazin...

MATHEMATICS | norm attaining functionals | RANGES | nonlineable sets | SPACES | proximinal subspaces | SUBSPACES | renormings of Banach spaces | Norms | Banach spaces | Equivalence | Subspaces | Banach space | Mathematics - Functional Analysis

MATHEMATICS | norm attaining functionals | RANGES | nonlineable sets | SPACES | proximinal subspaces | SUBSPACES | renormings of Banach spaces | Norms | Banach spaces | Equivalence | Subspaces | Banach space | Mathematics - Functional Analysis

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 9/2016, Volume 110, Issue 2, pp. 723 - 727

...RACSAM (2016) 110:723–727 DOI 10.1007/s13398-015-0261-3 ORIGINAL PAPER Plasticity of the unit ball of a strictly convex Banach space B. Cascales 1 · V . Kadets...

Unit ball | Plastic space | Theoretical, Mathematical and Computational Physics | 46B20 | Mathematics, general | Strictly convex space | Mathematics | Applications of Mathematics | Non-expansive map | MATHEMATICS | Banach space | Texts | Plasticity

Unit ball | Plastic space | Theoretical, Mathematical and Computational Physics | 46B20 | Mathematics, general | Strictly convex space | Mathematics | Applications of Mathematics | Non-expansive map | MATHEMATICS | Banach space | Texts | Plasticity

Journal Article

Banach Journal of Mathematical Analysis, ISSN 1735-8787, 2016, Volume 10, Issue 3, pp. 621 - 637

We prove that for a given Banach space X, the subset of norm attaining Lipschitz functionals in Lip(0)(X) is weakly dense but not strongly dense. Then we...

Norm-attaining functional | Lipschitz functional | Bishop-Phelps-Bollobás theorem | Uniformly convex Banach space | Lipschitz-free space | norm-attaining functional | MATHEMATICS | uniformly convex Banach space | MATHEMATICS, APPLIED | BANACH-SPACES | Bishop-Phelps-Bollobas theorem | PHELPS-BOLLOBAS THEOREM | Mathematics - Functional Analysis

Norm-attaining functional | Lipschitz functional | Bishop-Phelps-Bollobás theorem | Uniformly convex Banach space | Lipschitz-free space | norm-attaining functional | MATHEMATICS | uniformly convex Banach space | MATHEMATICS, APPLIED | BANACH-SPACES | Bishop-Phelps-Bollobas theorem | PHELPS-BOLLOBAS THEOREM | Mathematics - Functional Analysis

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2010, Volume 371, Issue 2, pp. 414 - 424

For every weakly statistically convergent sequence ( x n ) with increasing norms in a Hilbert space we prove that sup n ‖ x n ‖ / n < ∞ . This estimate is...

Weak topology | Banach space | Filter | Statistical convergence | MATHEMATICS | MATHEMATICS, APPLIED | IDEALS | Universities and colleges

Weak topology | Banach space | Filter | Statistical convergence | MATHEMATICS | MATHEMATICS, APPLIED | IDEALS | Universities and colleges

Journal Article

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