Book contents
- Frontmatter
- Contents
- Preface
- Preliminaries
- 1 Complemented Subspaces of Banach Spaces
- 2 The Language of Homology
- 3 Quasilinear Maps
- 4 The Functor Ext and the Homology Sequences
- 5 Local Methods in the Theory of Twisted Sums
- 6 Fraïssé Limits by the Pound
- 7 Extension of Operators, Isomorphisms and Isometries
- 8 Extension of C(K)-Valued Operators
- 9 Singular Exact Sequences
- 10 Back to Banach Space Theory
- Bibliography
- Index
9 - Singular Exact Sequences
Published online by Cambridge University Press: 19 January 2023
- Frontmatter
- Contents
- Preface
- Preliminaries
- 1 Complemented Subspaces of Banach Spaces
- 2 The Language of Homology
- 3 Quasilinear Maps
- 4 The Functor Ext and the Homology Sequences
- 5 Local Methods in the Theory of Twisted Sums
- 6 Fraïssé Limits by the Pound
- 7 Extension of Operators, Isomorphisms and Isometries
- 8 Extension of C(K)-Valued Operators
- 9 Singular Exact Sequences
- 10 Back to Banach Space Theory
- Bibliography
- Index
Summary
This chapter studies singular sequences, namely exact sequences whose quotient maps are strictly singular operators. Different methods of construction and examples are presented.
Keywords
- Type
- Chapter
- Information
- Homological Methods in Banach Space Theory , pp. 444 - 467Publisher: Cambridge University PressPrint publication year: 2023