Book contents
- Frontmatter
- Contents
- Preface
- 1 Ultrametrics and valuations
- 2 Normed spaces
- 3 Locally convex spaces
- 4 The Hahn–Banach Theorem
- 5 The weak topology
- 6 C-compactness
- 7 Barrelledness and reflexivity
- 8 Montel and nuclear spaces
- 9 Spaces with an “orthogonal” base
- 10 Tensor products
- 11 Inductive limits
- Appendix A Glossary of terms
- Appendix B Guide to the examples
- Notation
- References
- Index
Appendix B - Guide to the examples
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- 1 Ultrametrics and valuations
- 2 Normed spaces
- 3 Locally convex spaces
- 4 The Hahn–Banach Theorem
- 5 The weak topology
- 6 C-compactness
- 7 Barrelledness and reflexivity
- 8 Montel and nuclear spaces
- 9 Spaces with an “orthogonal” base
- 10 Tensor products
- 11 Inductive limits
- Appendix A Glossary of terms
- Appendix B Guide to the examples
- Notation
- References
- Index
Summary
The most important examples of locally convex spaces occurring in this book are listed below, together with indications where their properties can be found. References in brackets concern underlying aspects and definitions. Numbers refer to theorems, corollaries, etc. unless indicated.
- Type
- Chapter
- Information
- Locally Convex Spaces over Non-Archimedean Valued Fields , pp. 451 - 452Publisher: Cambridge University PressPrint publication year: 2010