Book contents
- Frontmatter
- Dedication
- Contents
- Volume 1
- Contents of Volume 2
- Preface
- Preliminary Chapter Weak and Weak* Topologies. Filters, Ultrafilters. Ordinals
- 1 Fundamental Notions of Probability
- 2 Bases in Banach Spaces
- 3 Unconditional Convergence
- 4 Banach Space Valued Random Variables
- 5 Type and Cotype of Banach Spaces. Factorization through a Hilbert Space
- 6 p-Summing Operators. Applications
- 7 Some Properties of Lp-Spaces
- 8 The Space l1
- Annex Banach Algebras. Compact Abelian Groups
- References
- Notation Index for Volume 1
- Author Index for Volume 1
- Subject Index for Volume 1
- Notation Index for Volume 2
- Author Index for Volume 2
- Subject Index for Volume 2
8 - The Space l 1
from Volume 1
Published online by Cambridge University Press: 26 October 2017
- Frontmatter
- Dedication
- Contents
- Volume 1
- Contents of Volume 2
- Preface
- Preliminary Chapter Weak and Weak* Topologies. Filters, Ultrafilters. Ordinals
- 1 Fundamental Notions of Probability
- 2 Bases in Banach Spaces
- 3 Unconditional Convergence
- 4 Banach Space Valued Random Variables
- 5 Type and Cotype of Banach Spaces. Factorization through a Hilbert Space
- 6 p-Summing Operators. Applications
- 7 Some Properties of Lp-Spaces
- 8 The Space l1
- Annex Banach Algebras. Compact Abelian Groups
- References
- Notation Index for Volume 1
- Author Index for Volume 1
- Subject Index for Volume 1
- Notation Index for Volume 2
- Author Index for Volume 2
- Subject Index for Volume 2
Summary
- Type
- Chapter
- Information
- Introduction to Banach Spaces: Analysis and Probability , pp. 326 - 356Publisher: Cambridge University PressPrint publication year: 2017