Locally Convex Spaces

• Main Author: Osborne, M. Scott (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Graduate Texts in Mathematics, 269
• Subjects: Mathematics.; Topological groups.; Lie groups.; Functional analysis.; Functional Analysis.; Topological Groups, Lie Groups.

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...

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.