Nonarchimedean Functional Analysis /
The present book is a self-contained text which leads the reader through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. One can observe an increasing interest in methods from nonarchimedean functional analysis, particularly in number theory and in...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
2002.
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| Series: | Springer monographs in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- I. Foundations
- Nonarchimedean Fields; Seminorms; Normed Vector Spaces; Locally Convex Vector Spaces; Constructions and Examples; Spaces of Continuous Linear Maps; Completeness; Fréchet Spaces; the Dual Space.
- II. The Structure of Banach Spaces
- Structure theorems; Non-Reflexivity
- III. Duality Theory
- C-Compact and Compactoid Submodules; Polarity; Admissible Topologies; Reflexivity; Compact Limits
- IV. Nuclear Maps and Spaces
- Topological Tensor Products; Completely Continuous Maps; Nuclear Spaces; Nuclear Maps; Traces; Fredholm Theory
- References
- Index, Notations.