Integrals and Operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1978
|
| Ausgabe: | Second Revised and Enlarged Edition |
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
228 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*-algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*-algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integration-theoretic ideas |
| Beschreibung: | 1 Online-Ressource (XIV, 374 p) |
| ISBN: | 9783642666933 9783642666957 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-642-66693-3 |
Internformat
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| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 228 |x 0072-7830 | |
| 500 | |a TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*-algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*-algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integration-theoretic ideas | ||
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Datensatz im Suchindex
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| author | Segal, Irving Ezra 1918-1998 |
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| building | Verbundindex |
| bvnumber | BV042422910 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1165452121 (DE-599)BVBBV042422910 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-66693-3 |
| edition | Second Revised and Enlarged Edition |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
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| isbn | 9783642666933 9783642666957 |
| issn | 0072-7830 |
| language | English |
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| physical | 1 Online-Ressource (XIV, 374 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1978 |
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| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Segal, Irving Ezra 1918-1998 Verfasser (DE-588)119350211 aut Integrals and Operators by Irving E. Segal, Ray A. Kunze Second Revised and Enlarged Edition Berlin, Heidelberg Springer Berlin Heidelberg 1978 1 Online-Ressource (XIV, 374 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 228 0072-7830 TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*-algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*-algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integration-theoretic ideas Mathematics Mathematics, general Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Integration Mathematik (DE-588)4072852-3 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Integral (DE-588)4131477-3 gnd rswk-swf Topologische Gruppe (DE-588)4135793-0 gnd rswk-swf Operator (DE-588)4130529-2 s 1\p DE-604 Operatortheorie (DE-588)4075665-8 s 2\p DE-604 Integral (DE-588)4131477-3 s 3\p DE-604 Topologische Gruppe (DE-588)4135793-0 s 4\p DE-604 Integration Mathematik (DE-588)4072852-3 s 5\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 6\p DE-604 Kunze, Ray Alden 1928-2014 Sonstige (DE-588)109029046 oth https://doi.org/10.1007/978-3-642-66693-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Segal, Irving Ezra 1918-1998 Integrals and Operators Mathematics Mathematics, general Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Operatortheorie (DE-588)4075665-8 gnd Integration Mathematik (DE-588)4072852-3 gnd Operator (DE-588)4130529-2 gnd Integral (DE-588)4131477-3 gnd Topologische Gruppe (DE-588)4135793-0 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4075665-8 (DE-588)4072852-3 (DE-588)4130529-2 (DE-588)4131477-3 (DE-588)4135793-0 |
| title | Integrals and Operators |
| title_auth | Integrals and Operators |
| title_exact_search | Integrals and Operators |
| title_full | Integrals and Operators by Irving E. Segal, Ray A. Kunze |
| title_fullStr | Integrals and Operators by Irving E. Segal, Ray A. Kunze |
| title_full_unstemmed | Integrals and Operators by Irving E. Segal, Ray A. Kunze |
| title_short | Integrals and Operators |
| title_sort | integrals and operators |
| topic | Mathematics Mathematics, general Mathematik Funktionalanalysis (DE-588)4018916-8 gnd Operatortheorie (DE-588)4075665-8 gnd Integration Mathematik (DE-588)4072852-3 gnd Operator (DE-588)4130529-2 gnd Integral (DE-588)4131477-3 gnd Topologische Gruppe (DE-588)4135793-0 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Funktionalanalysis Operatortheorie Integration Mathematik Operator Integral Topologische Gruppe |
| url | https://doi.org/10.1007/978-3-642-66693-3 |
| work_keys_str_mv | AT segalirvingezra integralsandoperators AT kunzerayalden integralsandoperators |