Author(s): Reinhold Meise, Dietmar Vogt
Publisher: Clarendon
Year: 1997
Title page
Prefaces
Part I Preliminaries
1 Linear algebra
2 Metric and topological spaces
3 Complete metric spaces
4 Compactness
Part II Banach spaces and metric linear spaces
5 Normed spaces
6 Dual spaces and the Hahn-Banach theorem
7 Bidual and reflexivity
8 Consequences of Baire's theorem
9 Dual maps
10 Projections
11 Hilbert spaces
12 Orthonormal systems
13 The Banach spaces Lp(X,μ) and C(X)'
14 Fourier transformation and Sobolev spaces
Part III Spectral of theory linear operators
15 Compact operators
16 Compact operators in Hilbert spaces
17 Banach algebras
18 The spectral theorem for normal operators
19 Unbounded operators between Hilbert spaces
20 The spectral theorem for unbounded self-adjoint operators
21 Self-adjoint extensions
Part IV Fréchet spaces and their dual spaces
22 Locally convex vector spaces
23 Duality theory of locally convex spaces
24 Projective and inductive topologies
25 Fréchet spaces and (DF)-spaces
26 Short exact sequences
27 Sequences spaces
28 Nuclear spaces
29 Power series spaces
30 A splitting theorem
31 Subspaces and quotients of s
Appendix Integration theory
Notes
Bibliography
Index of symbols
Index
