A first course in functional analysis: theory and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Anthem Press
2013
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 459-462) and index 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 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 -- P. [4] of cover |
| Beschreibung: | 1 Online-Ressource (xviii, 468 pages) |
| ISBN: | 0857282220 0857283200 9780857282224 9780857283207 |
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| 500 | |a Includes bibliographical references (pages 459-462) and index | ||
| 500 | |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 | ||
| 500 | |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 -- P. [4] of cover | ||
| 650 | 7 | |a MATHEMATICS / Functional Analysis |2 bisacsh | |
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:32Z |
| institution | BVB |
| isbn | 0857282220 0857283200 9780857282224 9780857283207 |
| language | English |
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| physical | 1 Online-Ressource (xviii, 468 pages) |
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| spelling | Sen, Rabindranath Verfasser aut A first course in functional analysis theory and applications Rabindranath Sen London Anthem Press 2013 1 Online-Ressource (xviii, 468 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 459-462) and index 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 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 -- P. [4] of cover MATHEMATICS / Functional Analysis bisacsh Functional analysis fast Functional analysis http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=540442 Aggregator Volltext |
| spellingShingle | Sen, Rabindranath A first course in functional analysis theory and applications MATHEMATICS / Functional Analysis bisacsh Functional analysis fast Functional analysis |
| title | A first course in functional analysis theory and applications |
| title_auth | A first course in functional analysis theory and applications |
| title_exact_search | A first course in functional analysis theory and applications |
| title_full | A first course in functional analysis theory and applications Rabindranath Sen |
| title_fullStr | A first course in functional analysis theory and applications Rabindranath Sen |
| title_full_unstemmed | A first course in functional analysis theory and applications Rabindranath Sen |
| title_short | A first course in functional analysis |
| title_sort | a first course in functional analysis theory and applications |
| title_sub | theory and applications |
| topic | MATHEMATICS / Functional Analysis bisacsh Functional analysis fast Functional analysis |
| topic_facet | MATHEMATICS / Functional Analysis Functional analysis |
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