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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; New York :
Anthem Press,
2013.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Sen, Rabindranath. | |
| 245 | 1 | 2 | |a A first course in functional analysis : |b theory and applications / |c Rabindranath Sen. |
| 260 | |a London ; |a New York : |b Anthem Press, |c 2013. | ||
| 300 | |a 1 online resource (xviii, 468 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references (pages 459-462) and index. | ||
| 505 | 0 | |a Preliminaries -- Normed linear spaces -- Hilbert space -- Linear operators -- Linear functions -- Space of bounded linear functionals -- Closed graph theorem and its consequences -- Compact operators on normed linear spaces -- Elements of spectral theory of self-adjoint operators in Hilbert spaces -- Measures and integration in Lp[subscript] spaces -- Unbounded linear operators -- The Hahn-Banach theorem and optimization problems -- Variational problems -- The wavelet analysis -- Dynamical systems. | |
| 520 | 3 | |a 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. | |
| 588 | 0 | |a Print version record. | |
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| 650 | 0 | |a Functional analysis. | |
| 650 | 6 | |a Analyse fonctionnelle. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Functional analysis. |2 fast |0 (OCoLC)fst00936061 | |
| 776 | 0 | 8 | |i Print version: |a Sen, Rabindranath. |t First course in functional analysis. |d London ; New York : Anthem Press, 2013 |z 0857283200 |w (OCoLC)821025278 |
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