Functional analysis
Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant, and more.* Assumes prior knowledge of Naive set theory,...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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[2014]
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| 100 | 1 | |a Lax, Peter D. |d 1926- |e Verfasser |0 (DE-588)130442437 |4 aut | |
| 245 | 1 | 0 | |a Functional analysis |c Peter D. Lax, Courant Institute, New York University |
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| 505 | 8 | |a Linear spaces -- Linear maps -- The Hahn-Banach theorem -- Applications of the Hahn-Banach theorem -- Normed linear spaces -- Hilbert space -- Applications of Hilbert space results -- Duals of normed linear spaces -- Applications of duality -- Weak convergence -- Applications of weak convergence -- The weak and weak* topologies -- Locally convex topologies and the Krein-Milman theorem -- Examples of convex sets and their extreme points -- Bounded linear maps -- Examples of bounded linear maps -- Banach algebras and their elementary spectral theory -- Gelfand's theory of commutative Banach algebras -- Applications of Gelfand's theory of commutative Banach algebras -- Examples of operators and their spectra -- Compact maps -- Examples of compact operators -- Positive compact operators -- Fredholm's theory of integral equations -- Invariant subspaces -- Harmonic analysis on a halfline -- Index theory -- Compact symmetric operators in Hilbert space -- Examples of compact symmetric operators -- Trace class and trace formula -- Spectral theory of symmetric, normal, and unitary operators -- Spectral theory of self-adjoint operators -- Examples of self-adjoint operators -- Semigroups of operators -- Groups of unitary operators -- Examples of strongly continuous semigroups -- Scattering theory -- A theorem of Beurling | |
| 520 | 3 | |a Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant, and more.* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and realvariables.* Includes an appendix on the Riesz representation theorem | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Lax, Peter D. 1926- |
| author_GND | (DE-588)130442437 |
| author_facet | Lax, Peter D. 1926- |
| author_role | aut |
| author_sort | Lax, Peter D. 1926- |
| author_variant | p d l pd pdl |
| building | Verbundindex |
| bvnumber | BV047231430 |
| classification_rvk | SK 600 |
| classification_tum | MAT 460f |
| collection | ZDB-35-WIC |
| contents | Linear spaces -- Linear maps -- The Hahn-Banach theorem -- Applications of the Hahn-Banach theorem -- Normed linear spaces -- Hilbert space -- Applications of Hilbert space results -- Duals of normed linear spaces -- Applications of duality -- Weak convergence -- Applications of weak convergence -- The weak and weak* topologies -- Locally convex topologies and the Krein-Milman theorem -- Examples of convex sets and their extreme points -- Bounded linear maps -- Examples of bounded linear maps -- Banach algebras and their elementary spectral theory -- Gelfand's theory of commutative Banach algebras -- Applications of Gelfand's theory of commutative Banach algebras -- Examples of operators and their spectra -- Compact maps -- Examples of compact operators -- Positive compact operators -- Fredholm's theory of integral equations -- Invariant subspaces -- Harmonic analysis on a halfline -- Index theory -- Compact symmetric operators in Hilbert space -- Examples of compact symmetric operators -- Trace class and trace formula -- Spectral theory of symmetric, normal, and unitary operators -- Spectral theory of self-adjoint operators -- Examples of self-adjoint operators -- Semigroups of operators -- Groups of unitary operators -- Examples of strongly continuous semigroups -- Scattering theory -- A theorem of Beurling |
| ctrlnum | (DE-599)BVBBV047231430 |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047231430 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T08:41:48Z |
| institution | BVB |
| isbn | 9781118626740 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032635888 |
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| physical | 1 Online-Ressource (xix, 580 Seiten) |
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| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Wiley-Interscience |
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| spelling | Lax, Peter D. 1926- Verfasser (DE-588)130442437 aut Functional analysis Peter D. Lax, Courant Institute, New York University New York Wiley-Interscience [2014] 1 Online-Ressource (xix, 580 Seiten) txt rdacontent c rdamedia cr rdacarrier Linear spaces -- Linear maps -- The Hahn-Banach theorem -- Applications of the Hahn-Banach theorem -- Normed linear spaces -- Hilbert space -- Applications of Hilbert space results -- Duals of normed linear spaces -- Applications of duality -- Weak convergence -- Applications of weak convergence -- The weak and weak* topologies -- Locally convex topologies and the Krein-Milman theorem -- Examples of convex sets and their extreme points -- Bounded linear maps -- Examples of bounded linear maps -- Banach algebras and their elementary spectral theory -- Gelfand's theory of commutative Banach algebras -- Applications of Gelfand's theory of commutative Banach algebras -- Examples of operators and their spectra -- Compact maps -- Examples of compact operators -- Positive compact operators -- Fredholm's theory of integral equations -- Invariant subspaces -- Harmonic analysis on a halfline -- Index theory -- Compact symmetric operators in Hilbert space -- Examples of compact symmetric operators -- Trace class and trace formula -- Spectral theory of symmetric, normal, and unitary operators -- Spectral theory of self-adjoint operators -- Examples of self-adjoint operators -- Semigroups of operators -- Groups of unitary operators -- Examples of strongly continuous semigroups -- Scattering theory -- A theorem of Beurling Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant, and more.* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and realvariables.* Includes an appendix on the Riesz representation theorem Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Mathematics MATHEMATICS / Functional Analysis MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Analyse fonctionnelle Functionaalanalyse Electronic books Lehrbuch (DE-588)4123623-3 Lehrbuch gnd-content Funktionalanalysis (DE-588)4018916-8 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-471-55604-6 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1102051 Aggregator URL des Erstveröffentlichers Volltext |
| spellingShingle | Lax, Peter D. 1926- Functional analysis Linear spaces -- Linear maps -- The Hahn-Banach theorem -- Applications of the Hahn-Banach theorem -- Normed linear spaces -- Hilbert space -- Applications of Hilbert space results -- Duals of normed linear spaces -- Applications of duality -- Weak convergence -- Applications of weak convergence -- The weak and weak* topologies -- Locally convex topologies and the Krein-Milman theorem -- Examples of convex sets and their extreme points -- Bounded linear maps -- Examples of bounded linear maps -- Banach algebras and their elementary spectral theory -- Gelfand's theory of commutative Banach algebras -- Applications of Gelfand's theory of commutative Banach algebras -- Examples of operators and their spectra -- Compact maps -- Examples of compact operators -- Positive compact operators -- Fredholm's theory of integral equations -- Invariant subspaces -- Harmonic analysis on a halfline -- Index theory -- Compact symmetric operators in Hilbert space -- Examples of compact symmetric operators -- Trace class and trace formula -- Spectral theory of symmetric, normal, and unitary operators -- Spectral theory of self-adjoint operators -- Examples of self-adjoint operators -- Semigroups of operators -- Groups of unitary operators -- Examples of strongly continuous semigroups -- Scattering theory -- A theorem of Beurling Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4123623-3 |
| title | Functional analysis |
| title_auth | Functional analysis |
| title_exact_search | Functional analysis |
| title_full | Functional analysis Peter D. Lax, Courant Institute, New York University |
| title_fullStr | Functional analysis Peter D. Lax, Courant Institute, New York University |
| title_full_unstemmed | Functional analysis Peter D. Lax, Courant Institute, New York University |
| title_short | Functional analysis |
| title_sort | functional analysis |
| topic | Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Funktionalanalysis Lehrbuch |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1102051 |
| work_keys_str_mv | AT laxpeterd functionalanalysis |