Functional Analysis I: Linear Functional Analysis
by Yu I Lyubich;I Nikolskij N KTweddle (9783540505846)

Functional Analysis I: Linear Functional Analysis

Yu I Lyubich;I Nikolskij N KTweddle

Release Date: 04 February 1992
Format: Hardback
Pages: 286
Categories: Calculus
Mathematical Analysis
Publisher: Springer
ISBN: 9783540505846
ISBN-10: 3540505849

The twentieth century view of the analysis of functions is dominated by the study of classes of functions, as contrasted with the older emphasis on the study of individual functions. Operator theory has had a similar evolution, leading to a primary role for families of operators. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach. The book consists of two chapters, the first of which deals with classical aspects of the subject, while the second presents the abstract modern theory and some of its applications. Both chapters are divided into sections which are devoted to individual topics. For each topic the origins are traced, the principal definitions and results are stated and illustrative examples for theory and applications are given. Usually proofs are omitted, although certain sections of Chapter 2 do contain some quite detailed proofs. The classical concrete problems of Chapter 1 provide motivation and examples, as well as a technical foundation, for the theory in Chapter 2.

AUD $290.95

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