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Applied functional analysis

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Author(s): Demkowicz, Leszek; Oden, John Tinsley
Edition: Third edition
Publisher: CRC Press
Year: 2018

Language: English
Pages: 633
Tags: Functional analysis.;Topology.

Content: 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