Introduction to operator theory I: elements of functional analysis/
Arlen Brown,Carl Pearcy.
- New York : Springer, 1977.
- xiv,474p. : 24cm.
- Graduate texts in mathematics, 55. .
I Preliminaries -- 1 Set theory -- 2 Linear algebra -- 3 General topology -- 4 Metric spaces -- 5 Complex analysis -- 6 Measurability -- 7 Integrals and measures -- 8 Measure theory -- 9 More integration theory -- 10 Measure and topology -- II Banach Spaces -- 11 Normed linear spaces -- 12 Bounded linear transformations -- 13 The open mapping theorem -- 14 The Hahn-Banach theorem -- 15 Local convexity and weak topologies -- 16 Duality -- 17 Banach spaces and integration theory -- 18 The spaces C(X) -- 19 Vector sums and bases --