A first course in functional analysis : theory and applications /
A comprehensive introduction to functional analysis, beginning with the fundamentals and extending into theory and applications. The volume starts with an introduction to sets and metric spaces and the notions of convergence, completeness and compactness, and continues to a detailed treatment of nor...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
London ; New York :
Anthem Press,
2013.
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| Subjects: | |
| Online Access: | CONNECT |
| Summary: | A comprehensive introduction to functional analysis, beginning with the fundamentals and extending into theory and applications. The volume starts with an introduction to sets and metric spaces and the notions of convergence, completeness and compactness, and continues to a detailed treatment of normed linear spaces and Hilbert spaces. The reader is then introduced to linear operators and functionals, the Hahn-Banach theorem on linear bounded functionals, conjugate spaces and adjoint operators, and the space of linear bounded functionals. Further topics include the closed graph theorem, the open mapping theorem, linear operator theory including unbounded operators, spectral theory, and a brief introduction to the Lebesgue measure. The cornerstone of the book lies in the motivation for the development of these theories, and applications that illustrate the theories in action -- page 4 of cover. |
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| Physical Description: | 1 online resource (xviii, 468 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 459-462) and index. |
| ISBN: | 9780857282224 0857282220 0857283200 9780857283207 |
