Recent Trends in Operator Theory and Applications: Workshop Recent Trends in Operator Theory and Applications May 3-5, 2018 the University of Memphis, Memphis, Tn (Contemporary Mathematics, 737)

✍ Scribed by Fernanda Botelho (editor)

• Publisher: AMS
• Year: 2019
• Tongue: English
• Leaves: 194
• Category: Library

✦ Synopsis

From a May 2018 workshop in Memphis, Tennessee, 13 invited articles include both surveys and original research papers on methods and developments in operator theory. The topics include Toeplitz kernels with finite rank truncated Toeplitz operators, some geometric properties of relative Chemshev centers in Banach spaces, when a finite sum of box operators on a JB*-triple is a Hermitian projection, results on topological properties of operations on function spaces, and statistical approximation by generalized unitary discrete operators. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)

✦ Table of Contents

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 𝜆_{𝜋}(𝑋)
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 (𝑝,𝑞)-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-(𝑅₁)
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(𝐾)
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 𝐶⁽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. 𝑐₀(Γ) and ℓ^{∞}(Γ) spaces
3. Large separable 𝐿¹-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