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 |
| Vydáno: |
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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- 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