Locally Convex Spaces
For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory neede...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edition: | 1st ed. 2014. |
| Series: | Graduate Texts in Mathematics,
269 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-02045-7 |
Table of Contents:
- 1 Topological Groups
- 2 Topological Vector Spaces
- 3 Locally Convex Spaces
- 4 The Classics
- 5 Dual Spaces
- 6 Duals of Fré chet Spaces
- A Topological Oddities
- B Closed Graphs in Topological Groups
- C The Other Krein–Smulian Theorem
- D Further Hints for Selected Exercises
- Bibliography
- Index.