Applied Functional Analysis (Paperback, 3 ed)

Preliminaries Elementary Logic and Set Theory Relations; Functions Cardinality of Sets Foundations of Abstract Algebra Elementary Topology in Rn Elements of Differential and Integral CalculusLinear Algebra Vector Spaces?The Basic Concepts Linear Transformations Algebraic Duals; Euclidean SpacesLebesgue Measure and IntegrationLebesgue MeasureLebesgue Integration TheoryTopological and Metric SpacesElementary TopologyTheory of Metric Spaces Banach SpacesTopological Vector SpacesHahn?Banach Extension TheoremBounded (Continuous) Linear Operators on Normed SpacesClosed OperatorsTopological DualsWeak CompactnessClosed Range TheoremSolvability of Linear EquationsHilbert SpacesBasic TheoryDuality in Hilbert SpacesElements of Spectral TheoryReferences