The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. 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.
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1. Classical Concrete Problems.- 2. Foundations and Methods.- Commentary on the Bibliography.- Author Index.
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Hardcover. Condizione: new. Hardcover. 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. An Encyclopaedia volume in Functional Analysis. It is a survey of the field, covering classical and modern approaches. Because of the widespread use of functional analysis in other parts of mathematics, this volume complements the volumes in the other four Encyclopaedia subseries in analysis. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540505846
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. 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. 300 pp. Englisch. Codice articolo 9783540505846
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