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,...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York
Wiley-Interscience
[2014]
|
| Subjects: | |
| Online Access: | Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (xix, 580 Seiten) |
| ISBN: | 9781118626740 |
Staff View
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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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| author | Lax, Peter D. 1926-2025 |
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| 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 |
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| format | Electronic eBook |
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| spelling | Lax, Peter D. 1926-2025 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. 1926-2025 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_exact_search_txtP | 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 |
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