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Chapter 3. Some properties of narrow operators with applications to nonlocally convex spaces
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Chapters in this book
- Frontmatter i
- Preface vii
- Contents xi
- Chapter 1. Introduction and preliminaries 1
- Chapter 2. Each “small” operator is narrow 24
- Chapter 3. Some properties of narrow operators with applications to nonlocally convex spaces 36
- Chapter 4. Noncompact narrow operators 41
- Chapter 5. Ideal properties, conjugates, spectrum and numerical radii of narrow operators 57
- Chapter 6. Daugavet-type properties of Lebesgue and Lorentz spaces 71
- Chapter 7. Strict singularity versus narrowness 109
- Chapter 8. Weak embeddings of L1 179
- Chapter 9. Spaces X for which every operator T ∈ ℒ (Lp;X) is narrow 210
- Chapter 10. Narrow operators on vector lattices 229
- Chapter 11. Some variants of the notion of narrow operators 265
- Chapter 12. Open problems 303
- Bibliography 307
- Index of names 315
- Subject index 317
Chapters in this book
- Frontmatter i
- Preface vii
- Contents xi
- Chapter 1. Introduction and preliminaries 1
- Chapter 2. Each “small” operator is narrow 24
- Chapter 3. Some properties of narrow operators with applications to nonlocally convex spaces 36
- Chapter 4. Noncompact narrow operators 41
- Chapter 5. Ideal properties, conjugates, spectrum and numerical radii of narrow operators 57
- Chapter 6. Daugavet-type properties of Lebesgue and Lorentz spaces 71
- Chapter 7. Strict singularity versus narrowness 109
- Chapter 8. Weak embeddings of L1 179
- Chapter 9. Spaces X for which every operator T ∈ ℒ (Lp;X) is narrow 210
- Chapter 10. Narrow operators on vector lattices 229
- Chapter 11. Some variants of the notion of narrow operators 265
- Chapter 12. Open problems 303
- Bibliography 307
- Index of names 315
- Subject index 317