Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2017, Volume 454, Issue 1, pp. 41 - 58

This paper is motivated by a long-standing conjecture of Dinculeanu from 1967. Let X and Y be Banach spaces and let Ω be a compact Hausdorff space. Dinculeanu...

Representing measure | Operators on tensor products | Banach spaces | Continuous and p-continuous vector-valued functions | Absolutely [formula omitted]-summing operators | Absolutely (r,p)-summing operators | Absolutely (r, p)-summing operators | MATHEMATICS | MATHEMATICS, APPLIED | ABSOLUTELY SUMMING OPERATORS | TENSOR-PRODUCTS | NUCLEAR OPERATORS | BANACH-SPACES | COMPACT-OPERATORS

Representing measure | Operators on tensor products | Banach spaces | Continuous and p-continuous vector-valued functions | Absolutely [formula omitted]-summing operators | Absolutely (r,p)-summing operators | Absolutely (r, p)-summing operators | MATHEMATICS | MATHEMATICS, APPLIED | ABSOLUTELY SUMMING OPERATORS | TENSOR-PRODUCTS | NUCLEAR OPERATORS | BANACH-SPACES | COMPACT-OPERATORS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2019, Volume 479, Issue 1, pp. 1324 - 1354

We give necessary and sufficient conditions for an operator A:X→Y on a Banach space having a shrinking FDD to factor through a Banach space Z such that the...

Asplund operators | Operator ideals | Szlenk index | Factorization | MATHEMATICS | COMPACT | MATHEMATICS, APPLIED | SET | THEOREM | BANACH-SPACES | PROPERTY

Asplund operators | Operator ideals | Szlenk index | Factorization | MATHEMATICS | COMPACT | MATHEMATICS, APPLIED | SET | THEOREM | BANACH-SPACES | PROPERTY

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2018, Volume 461, Issue 2, pp. 1115 - 1137

We introduce the notions of strongly Lipschitz (p,r,s)-nuclear operators and strongly Lipschitz (p,r,s)-integral operators. We develop a theory of strongly...

Lipschitz map | Strongly Lipschitz [formula omitted]-nuclear operators | Strongly Lipschitz [formula omitted]-integral operators | Lipschitz r-compact operators | Strongly Lipschitz (p,r,s)-integral operators | Strongly Lipschitz (p,r,s)-nuclear operators | MATHEMATICS | MATHEMATICS, APPLIED | P-SUMMING OPERATORS | Strongly Lipschitz (p, r, s)-nuclear operators | COMPACT-OPERATORS | BANACH IDEALS | Strongly Lipschitz (p, r, s)-integral operators | INTEGRAL OPERATORS

Lipschitz map | Strongly Lipschitz [formula omitted]-nuclear operators | Strongly Lipschitz [formula omitted]-integral operators | Lipschitz r-compact operators | Strongly Lipschitz (p,r,s)-integral operators | Strongly Lipschitz (p,r,s)-nuclear operators | MATHEMATICS | MATHEMATICS, APPLIED | P-SUMMING OPERATORS | Strongly Lipschitz (p, r, s)-nuclear operators | COMPACT-OPERATORS | BANACH IDEALS | Strongly Lipschitz (p, r, s)-integral operators | INTEGRAL OPERATORS

Journal Article

Studia Mathematica, ISSN 0039-3223, 2019, Volume 245, Issue 2, pp. 185 - 200

It is known that a positive commutator C = AB - BA between positive operators on a Banach lattice is quasinilpotent whenever at least one of A and B is...

Compact operators | Nilpotent operators | Order Pełczyński decomposition | Positive commutators | MATHEMATICS | positive commutators | compact operators | order Pelczyriski decomposition | nilpotent operators

Compact operators | Nilpotent operators | Order Pełczyński decomposition | Positive commutators | MATHEMATICS | positive commutators | compact operators | order Pelczyriski decomposition | nilpotent operators

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2018, Volume 465, Issue 1, pp. 547 - 556

A bounded linear operator T:H1→H2, where H1,H2 are Hilbert spaces is said to be norm attaining if there exists a unit vector x∈H1 such that ‖Tx‖=‖T‖. If for...

Compact operator | Reducing subspace | [formula omitted]-operator | Norm attaining operator | Paranormal operator | Weyl's theorem | AN-operator | MATHEMATICS | MATHEMATICS, APPLIED | Wcyl's theorem

Compact operator | Reducing subspace | [formula omitted]-operator | Norm attaining operator | Paranormal operator | Weyl's theorem | AN-operator | MATHEMATICS | MATHEMATICS, APPLIED | Wcyl's theorem

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 03/2020, Volume 278, Issue 5, p. 108401

We obtain complete characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting on the standard...

Bergman space | Difference | Weighted composition operator | Hardy space | MATHEMATICS | COMPACT DIFFERENCES | HARDY | BERGMAN SPACES | ISOMETRIES

Bergman space | Difference | Weighted composition operator | Hardy space | MATHEMATICS | COMPACT DIFFERENCES | HARDY | BERGMAN SPACES | ISOMETRIES

Journal Article

Studia Mathematica, ISSN 0039-3223, 2018, Volume 240, Issue 2, pp. 147 - 159

The purpose of this paper is to present a brief discussion of some properties of the injective and surjective hulls of the Banach operator ideal of classical...

Classical p-compact operator | Surjective and injective hull | Operator ideal | Unconditionally p-compact operator | P-compact operator | Quasi unconditionally p-nuclear operator | MATHEMATICS | quasi unconditionally p-nuclear operator | operator ideal | p-compact operator | NUCLEAR | SEQUENCES | unconditionally p-compact operator | ADJOINTS | classical p-compact operator | BANACH IDEALS | surjective and injective hull

Classical p-compact operator | Surjective and injective hull | Operator ideal | Unconditionally p-compact operator | P-compact operator | Quasi unconditionally p-nuclear operator | MATHEMATICS | quasi unconditionally p-nuclear operator | operator ideal | p-compact operator | NUCLEAR | SEQUENCES | unconditionally p-compact operator | ADJOINTS | classical p-compact operator | BANACH IDEALS | surjective and injective hull

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 2018, Volume 157, Issue 1, pp. 63 - 79

Let Kw(X,Y) denote the set of all w(*)-w continuous compact operators from X-* to Y. We investigate whether the space Kw(X,Y) has property RDP (1p<) when X and...

property RDPp | p-convergent operator | space of compact operators | space of continuous functions | MATHEMATICS

property RDPp | p-convergent operator | space of compact operators | space of continuous functions | MATHEMATICS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 379, Issue 2, pp. 499 - 511

Altay and Başar (2005) [1] and Altay, Başar and Mursaleen (2006) [2] introduced the Euler sequence spaces e 0 t , e c t and e ∞ t . Başarır and Kayıkçı (2009)...

[formula omitted]-difference sequence spaces | α | Hausdorff measure of noncompactness | β- and γ-duals | Compact operators | Matrix transformations | Schauder basis | B | difference sequence spaces | - | MATHEMATICS | MATHEMATICS, APPLIED | L(P) | INCLUDE | B-(m)-difference sequence spaces | alpha-, beta- and gamma-duals

[formula omitted]-difference sequence spaces | α | Hausdorff measure of noncompactness | β- and γ-duals | Compact operators | Matrix transformations | Schauder basis | B | difference sequence spaces | - | MATHEMATICS | MATHEMATICS, APPLIED | L(P) | INCLUDE | B-(m)-difference sequence spaces | alpha-, beta- and gamma-duals

Journal Article

Advances in Mathematics, ISSN 0001-8708, 06/2016, Volume 295, pp. 421 - 496

We prove novel results on interpolation of Fredholm operators including an abstract factorization theorem. The main result of this paper provides sufficient...

Real interpolation method | Interpolation functor | Fredholm operators | MATHEMATICS | BANACH-SPACES | INVERTIBILITY | STABILITY | SCALES | COMPACT-OPERATORS | REAL INTERPOLATION | COMPLEX INTERPOLATION | Naturvetenskap | Natural Sciences

Real interpolation method | Interpolation functor | Fredholm operators | MATHEMATICS | BANACH-SPACES | INVERTIBILITY | STABILITY | SCALES | COMPACT-OPERATORS | REAL INTERPOLATION | COMPLEX INTERPOLATION | Naturvetenskap | Natural Sciences

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 1, pp. 441 - 451

This note studies certain properties of the ideal K(E) consisting of compact operators on E, where E is a Hilbert C⁎-module over a C⁎-algebra A. It is proved...

Compact operator | Hereditary [formula omitted]-subalgebra | Hilbert [formula omitted]-module | Hilbert C | subalgebra | Hereditary C | module | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | Hereditary C-subalgebra

Compact operator | Hereditary [formula omitted]-subalgebra | Hilbert [formula omitted]-module | Hilbert C | subalgebra | Hereditary C | module | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | Hereditary C-subalgebra

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123842

We introduce a uniform structure on any Hilbert C⁎-module N and prove the following theorem: suppose, F:M→N is a bounded adjointable morphism of Hilbert...

Uniform structure | Compact operator | Hilbert [formula omitted]-module | Totally bounded set | [formula omitted]-compact operator | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | A-compact operator

Uniform structure | Compact operator | Hilbert [formula omitted]-module | Totally bounded set | [formula omitted]-compact operator | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | A-compact operator

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 09/2014, Volume 267, Issue 5, pp. 1585 - 1592

We show examples of compact linear operators between Banach spaces which cannot be approximated by norm attaining operators. This is the negative answer to an...

Compact operators | Approximation property | Banach space | Norm-attaining operators | MATHEMATICS | SPACES | PROPERTY | Mathematics - Functional Analysis

Compact operators | Approximation property | Banach space | Norm-attaining operators | MATHEMATICS | SPACES | PROPERTY | Mathematics - Functional Analysis

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

Journal of Functional Analysis, ISSN 0022-1236, 10/2019, Volume 277, Issue 8, pp. 2865 - 2891

We introduce the classes of operator p-compact mappings and completely right p-nuclear operators, which are natural extensions to the operator space framework...

Operator spaces | p-nuclear mappings | Mapping ideals | p-compact mappings | MATHEMATICS | IDEAL | APPROXIMATION | TENSOR-PRODUCTS | ADJOINTS | Nuclear industry

Operator spaces | p-nuclear mappings | Mapping ideals | p-compact mappings | MATHEMATICS | IDEAL | APPROXIMATION | TENSOR-PRODUCTS | ADJOINTS | Nuclear industry

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 11/2019, Volume 188, pp. 70 - 79

We investigate the multilinear variants of the quantities which measure the noncompactness of multilinear operators taking values in Banach spaces with the...

Compact operators | Approximation property | Multilinear operators | Measure of noncompactness | Mutilinear Hilbert and Riesz transform | MATHEMATICS | MATHEMATICS, APPLIED | Invertebrates | Banach space | Operators

Compact operators | Approximation property | Multilinear operators | Measure of noncompactness | Mutilinear Hilbert and Riesz transform | MATHEMATICS | MATHEMATICS, APPLIED | Invertebrates | Banach space | Operators

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 1470 - 1480

An operator on Hilbert space is complex symmetric if it can be represented as a symmetric matrix relative to some orthonormal basis of the space. It is proved...

Compact operators | Weyl spectrum | Weyl's theorem | Complex symmetric operators | MATHEMATICS | MATHEMATICS, APPLIED

Compact operators | Weyl spectrum | Weyl's theorem | Complex symmetric operators | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2018, Volume 468, Issue 1, pp. 567 - 583

We study the spectral properties of positive absolutely minimum attaining operators defined on infinite dimensional complex Hilbert spaces and using this we...

Compact operator | Absolutely minimum attaining operator | Minimum modulus | Spectrum | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM

Compact operator | Absolutely minimum attaining operator | Minimum modulus | Spectrum | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM

Journal Article

Positivity, ISSN 1385-1292, 12/2014, Volume 18, Issue 4, pp. 641 - 667

We generalize the notion of narrow operators to nonlinear maps on vector lattices. The main objects are orthogonally additive operators and, in particular,...

Orthogonally additive operators | Mathematics | C-compact operators | Banach lattices | Abstract Uryson operators | Operator Theory | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | Narrow operators | Secondary 47H99 | Econometrics | Primary 47H30 | MATHEMATICS | SPACES | Studies | Operations research | Banach spaces | Mathematical analysis

Orthogonally additive operators | Mathematics | C-compact operators | Banach lattices | Abstract Uryson operators | Operator Theory | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | Narrow operators | Secondary 47H99 | Econometrics | Primary 47H30 | MATHEMATICS | SPACES | Studies | Operations research | Banach spaces | Mathematical analysis

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2013, Volume 397, Issue 1, pp. 205 - 224

We introduce the new class of the (p;p1,…,pm;σ)-absolutely continuous multilinear operators, that is defined using a summability property that provides the...

Compact operator | Absolutely continuous operator | Multilinear operator | Tensor norm | Banach function space | Pietsch domination theorem | INTERPOLATION | MATHEMATICS | MATHEMATICS, APPLIED | KOTHE FUNCTION-SPACES | MAPPINGS | IDEALS

Compact operator | Absolutely continuous operator | Multilinear operator | Tensor norm | Banach function space | Pietsch domination theorem | INTERPOLATION | MATHEMATICS | MATHEMATICS, APPLIED | KOTHE FUNCTION-SPACES | MAPPINGS | IDEALS

Journal Article

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