Chapter 7. Strict singularity versus narrowness

Chapters in this book

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