TY - BOOK AU - Brown,Arlen AU - Pearcy,Carl TI - Introduction to operator theory I: elements of functional analysis SN - 1461299284 U1 - 515.72 PY - 1977/// CY - New York PB - Springer KW - Mathematics KW - Operator theory KW - Mathematics--Operator theory N1 - 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 -- ER -