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Cover 1 Title page 4 Contents 6 Preface 8 Sequence spaces on Banach lattices SURVEY 10 1. Introduction 10 2. Preliminaries 11 3. Köthe dual 12 4. Sequence spaces 16 5. Thinning sequences in λ_{π}(X) 27 References 33 Generalized numerical ranges, dilation, and quantum error correction 34 1. Introduction 34 2. Basic results 35 3. Dilation and numerical range inclusion 37 4. Joint numerical ranges and joint dilation 41 5. Quantum Channels and Higher Rank Numerical Ranges 43 6. The (p,q)-matricial ranges 46 7. The joint essential numerical range 48 References 49 Toeplitz kernels and finite rank truncated Toeplitz operators 52 1. Introduction 52 2. Preliminaries 53 3. Zeroes of functions in Toeplitz kernels and their g-images 59 4. Reproducing kernel functions in model spaces and their conjugates 62 5. Ranges of finite rank truncated Toeplitz operators 65 Acknowledgments 70 References 70 Commuting maps with the Mean Transform 72 1. Introduction 72 2. The Mean Transform 73 3. Commuting maps with the Mean Transform 77 4. Commuting maps with the Mean Transform under product 79 References 84 Some geometric properties of relative Chebyshev centres in Banach spaces 86 1. Introduction 86 2. Pr

Author

Fernanda Botelho, editors

Language

EN