Functional Analysis I: Linear Functional Analysis (Encyclopaedia of Mathematical Sciences) (v. 1) - Yu.I. Lyubich, Yu I. Lyubich (1992)
ISBN 3540505849
Publisher Springer
Publication Date 2/4/1992
Format Hardcover (236 x 160 mm)
Language English
Translator I. Tweddle
Editor N. K. Nikol'skij
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.
Personal Details
Collection Status In Collection
Index 1672
Read It Yes
Loan Date 8/4/2012
Due Date 8/25/2012
Overdue Yes
Links Amazon US
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Product Details
LoC Classification QA320.F795713 Part 1 1992
Cover Price $139.00
No. of Pages 283