Recent Trends in Operator Theory and Applications
This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3-5, 2018, at the University of Memphis, Memphis, Tennessee. The articles introduce topics from operator theory to graduate students and early career researchers. Eac...
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| Médium: | E-kniha |
| Jazyk: | angličtina |
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Providence, Rhode Island
American Mathematical Society
04.10.2019
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| Vydání: | 1 |
| Edice: | Contemporary Mathematics |
| Témata: | |
| ISBN: | 9781470448950, 1470448955 |
| ISSN: | 0271-4132, 1098-3627 |
| On-line přístup: | Získat plný text |
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| Abstract | This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3-5, 2018, at the University of Memphis, Memphis, Tennessee. The articles introduce topics from operator theory to graduate students and early career researchers. Each such article provides insightful references, selection of results with articulation to modern research and recent advances in the area. Topics addressed in this volume include: generalized numerical ranges and their application to study perturbation of operators, and connections to quantum error correction; a survey of results on Toeplitz operators, and applications of Toeplitz operators to the study of reproducing kernel functions; results on the 2-local reflexivity problem of a set of operators; topics from the theory of preservers; and recent trends on the study of quotients of tensor product spaces and tensor operators. It also includes research articles that present overviews of state-of-the-art techniques from operator theory as well as applications to recent research trends and open questions. A goal of all articles is to introduce topics within operator theory to the general public. |
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| AbstractList | This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3-5, 2018, at the University of Memphis, Memphis, Tennessee. The articles introduce topics from operator theory to graduate students and early career researchers. Each such article provides insightful references, selection of results with articulation to modern research and recent advances in the area. Topics addressed in this volume include: generalized numerical ranges and their application to study perturbation of operators, and connections to quantum error correction; a survey of results on Toeplitz operators, and applications of Toeplitz operators to the study of reproducing kernel functions; results on the 2-local reflexivity problem of a set of operators; topics from the theory of preservers; and recent trends on the study of quotients of tensor product spaces and tensor operators. It also includes research articles that present overviews of state-of-the-art techniques from operator theory as well as applications to recent research trends and open questions. A goal of all articles is to introduce topics within operator theory to the general public. |
| Author | Botelho, Fernanda |
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| DOI | 10.1090/conm/737 |
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| Editor | Botelho, Fernanda |
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| PublicationPlace | Providence, Rhode Island |
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| TableOfContents | Sequence spaces on Banach lattices SURVEY
--
Generalized numerical ranges, dilation, and quantum error correction
--
Toeplitz kernels and finite rank truncated Toeplitz operators
--
Commuting maps with the Mean Transform
--
Some geometric properties of relative Chebyshev centres in Banach spaces
--
2-local isometries on function spaces
--
When is a finite sum of box operators on a JB*-triple a Hermitian projection?
--
2-local isometries on <inline-formula content-type="math/mathml">
C ( n ) ( [ 0
, 1 ] )
{C^{(n)}({[0,1]})}
</inline-formula>
--
Quotients of tensor product spaces
--
Into isometries of Banach spaces
--
Results on topological properties of operations on function spaces
--
Support sets of nonlinear functionals
--
Statistical approximation by generalized unitary discrete operators Cover -- Title page -- Contents -- Preface -- Sequence spaces on Banach lattices SURVEY -- 1. Introduction -- 2. Preliminaries -- 3. Köthe dual -- 4. Sequence spaces -- 5. Thinning sequences in _{ }( ) -- References -- Generalized numerical ranges, dilation, and quantum error correction -- 1. Introduction -- 2. Basic results -- 3. Dilation and numerical range inclusion -- 4. Joint numerical ranges and joint dilation -- 5. Quantum Channels and Higher Rank Numerical Ranges -- 6. The ( , )-matricial ranges -- 7. The joint essential numerical range -- References -- Toeplitz kernels and finite rank truncated Toeplitz operators -- 1. Introduction -- 2. Preliminaries -- 3. Zeroes of functions in Toeplitz kernels and their g-images -- 4. Reproducing kernel functions in model spaces and their conjugates -- 5. Ranges of finite rank truncated Toeplitz operators -- Acknowledgments -- References -- Commuting maps with the Mean Transform -- 1. Introduction -- 2. The Mean Transform -- 3. Commuting maps with the Mean Transform -- 4. Commuting maps with the Mean Transform under product -- References -- Some geometric properties of relative Chebyshev centres in Banach spaces -- 1. Introduction -- 2. Property-( ₁) -- 3. Modulus of restricted chebyshev centres -- References -- 2-local isometries on function spaces -- 1. Introduction -- 2. Preliminaries -- 3. Spaces of continuous functions on [0,1] -- 4. Surjective real-linear isometries on \lip( ) -- 5. Applications -- References -- When is a finite sum of box operators on a JB*-triple a Hermitian projection? -- 1. Introduction -- 2. Hermitian projections and box operators -- References -- 2-local isometries on ⁽ⁿ⁾([0,1]) -- 1. Introduction -- 2. Main result and its First Proof -- 3. The second proof -- References -- Quotients of tensor product spaces -- 1. Introduction -- 2. Projective Tensors 3. Injective tensor products -- References -- Into isometries of Banach spaces -- 1. Introduction -- 2. ₀(Γ) and ℓ^{∞}(Γ) spaces -- 3. Large separable ¹-predual spaces -- 4. Subspaces of ℓ¹(Γ) -- References -- Results on topological properties of operations on function spaces -- 1. Introduction -- 2. The ∨ and ∧ operations -- 3. Openness of Multiplication on spaces of integrable functions -- 4. Openness and Dimension -- References -- Support sets of nonlinear functionals -- 1. Preliminaries -- 2. Associated Linear Operators -- 3. Measures of Points -- 4. Sets With Empty Interior -- 5. Banach Lattices Without Order Continuous Norms -- References -- Statistical approximation by generalized unitary discrete operators -- 1. Introduction -- 2. Background -- 3. Main Results -- References -- Back Cover |
| Title | Recent Trends in Operator Theory and Applications |
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