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Functional analysis / Peter Lax (2002, cop. 2022)

Public ISBD Titre : Functional analysis Type de document : texte imprimé Auteurs : Peter Lax, Auteur Editeur : Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley Année de publication : 2002, cop. 2022 Autre Editeur : London ; New York ; Sydney : Wiley-Interscience Collection : Pure and applied mathematics, ISSN 0079-8185 Importance : 1 vol. (XIX-580 p.) Présentation : couv. ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-471-55604-6 Note générale : Sommaire (abrégé) : Foreword. 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 Space. 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. Appendix A : The Riesz-Kakutani Representation Theorem. Appendix B : Theory of Distributions. Appendix C : Zorn's Lemma. -- ISBN : 0-471-55604-1 (rel.) .-- PPN 070341362 Langues : Anglais (eng) Tags : Analyse fonctionnelle  Analyse fonctionnelle -- Problèmes et exercices  Opérateurs, Théorie des  Functional analysis  Functional analysis -- Problems, exercises, etc.  Operator theory Index. décimale : 515.7 Analyse fonctionnelle Résumé : Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, 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 real variables. - Includes an appendix on the Riesz representation theorem (description Wiley) Note de contenu : Contient des exercices. Bibliogr. en fin de chapitres. Index auteurs. Index sujets Functional analysis [texte imprimé] / Peter Lax, Auteur . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley : London ; New York ; Sydney : Wiley-Interscience, 2002, cop. 2022 . - 1 vol. (XIX-580 p.) : couv. ill. ; 25 cm. - (Pure and applied mathematics, ISSN 0079-8185) . ISBN : 978-0-471-55604-6 Sommaire (abrégé) : Foreword. 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 Space. 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. Appendix A : The Riesz-Kakutani Representation Theorem. Appendix B : Theory of Distributions. Appendix C : Zorn's Lemma. -- ISBN : 0-471-55604-1 (rel.) .-- PPN 070341362 Langues : Anglais (eng) Tags : Analyse fonctionnelle  Analyse fonctionnelle -- Problèmes et exercices  Opérateurs, Théorie des  Functional analysis  Functional analysis -- Problems, exercises, etc.  Operator theory Index. décimale : 515.7 Analyse fonctionnelle Résumé : Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, 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 real variables. - Includes an appendix on the Riesz representation theorem (description Wiley) Note de contenu : Contient des exercices. Bibliogr. en fin de chapitres. Index auteurs. Index sujets

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OCA-NI-010288	010288	Ouvrages / Books	OCA Bib. Nice Mont-Gros	NI-Sous sol-1-Ouvrages	Sorti jusqu'au 29/11/2022