Sinossi
Foundations of Functional Analysis provides fundamental concepts about the theory and application of various methods involving functional analysis. Part one covers basic facts of linear algebra and real analysis. Part two is devoted to the theory of normed spaces, Banach spaces, contraction mappings, and linear operators between normed spaces. Part three focuses on Hilbert spaces and the representation of continuous linear functional with some applications. In this self-contained book, all the concepts, results, and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.
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Contenuti
Preface. Index of Special Notations. Basic Analysis. Analysis and Linear Algebra. Concepts in Metric Spaces. Banach Spaces. Normed Spaces. Contraction Mappings and Applications. Linear Operators on Normed Spaces. Hilbert Spaces. Inner Product Spaces. Representation of Linear Functions. Bibliography. Index.
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