Verfügbarkeit: Non-commutative Gelfand theories

Non-commutative Gelfand theories: a tool-kit for operator theorists and numerical analysts

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Bibliographische Detailangaben
Hauptverfasser:	Roch, Steffen 1958- (VerfasserIn), Santos, Pedro A. (VerfasserIn), Silbermann, Bernd (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	London [u.a.] Springer 2011
Schriftenreihe:	Universitext
Schlagworte:	Noncommutative algebras Gelfand-Naimark theorem Nichtkommutative Algebra
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Includes bibliographical references (p. 369-377) and index
Beschreibung:	XIV, 383 S.
ISBN:	0857291823 9780857291820

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Preface ............................................................ vii. Introduction ....................................................... xi Part 1 Non-commutative Gelfand Theories 1 Banach algebras ............................................... З 1. ł Basic definitions ........................................... 3 1.2 Invertibíiity and spectrum .................................... 17 1.3 Maxima] ideals and representations ........................... 35 1.4 Some examples of Banach algebras ........................... 45 .,5 Notes and comments ........................................ 60 2 Local principles ................................................ 63 2.1 Gelfand theory ............................................. 64 2.2 Allan s local principle ....................................... 72 2.3 Norm-preserving localization ................................. 85 2.4 Gohberg-Krupnik s local principle ............................ 91 2.5 Simonenko s local principle .................................. 94 2.6 Pi-algebras and Ql-algebras ..................................106 2.7 Notes and comments ........................................116 3 Banach algebras generated by idempotents .......................121 3.1 Algebras generated by tv/o idempotents ........................121 3.2 An N idempotents theorem ..................................129 3.3 Algebras with flip changing the onentatson .....................150 3.4 Algebras with flip preserving the orientation ....................165 3.5 Coefficient algebras .........................................172 3.6 Notes and comments ........................................3 86 x Contents Part II Case Studies 4 Singular integral operators ......................................191 4.1 Curves and algebras ........................................191 4.2 Singular integral operators on homogeneous curves ..............198 4.3 Algebras of singular integral operators on admissible curves .......217 4.4 Singular integral operators with Carleman shift changing orientation ................................................234 4.5 Toeplitz and Hankel operators ................................243 4.6 Singular integral operators with conjugation ....................249 4.7 C*-algebras generated by singular integral operators .............253 4.8 Appendix: Interpolation theorems .............................2.55 4.9 Notes and comments ........................................256 5 Convolution operators ..........................................259 5.1 Multipliers and commutators .................................259 5.2 Wiener-Hopf and Hankel operators ............................261 5.3 Commutators of convolution operators .........................262 5.4 Homogemzation of convolution operators ......................272 5.5 Algebras of multiplication, Wiener-Hopf and Mel lin operators .....276 5.6 Algebras of multiplication and Wiener-Hopf operators ...........290 5.7 Algebras of multiplication, convolution and flip operators .........295 5.8 Multidimensional convolution type operators ...................303 5.9 Notes and comments ........................................315 6 Algebras of operator sequences ..................................317 6.1 Approximation methods and sequences of operators .............317 6.2 Algebraization .............................................320 63 Essen tialization and lifting theorems ...........................321 6.4 Finite sections of Wiener-Hopf operators ........................325 6.5 Spline Galerkin methods for Wiener-Hopf operators ..............331 6.6 Finite sections of convolution and multiplication operators on Z/(R) ...................................................335 6.7 Finite sections of multidimensional convolution type operators .... 351 6.8 Notes and comments .........................................366 References ...........................................................369 List of Notation ....................................................379 Index .............................................................381
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author	Roch, Steffen 1958- Santos, Pedro A. Silbermann, Bernd
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spelling	Roch, Steffen 1958- Verfasser (DE-588)112466737 aut Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts Steffen Roch ; Pedro A. Santos ; Bernd Silbermann London [u.a.] Springer 2011 XIV, 383 S. txt rdacontent n rdamedia nc rdacarrier Universitext Includes bibliographical references (p. 369-377) and index Noncommutative algebras Gelfand-Naimark theorem Nichtkommutative Algebra (DE-588)4304013-5 gnd rswk-swf Nichtkommutative Algebra (DE-588)4304013-5 s DE-604 Santos, Pedro A. Verfasser aut Silbermann, Bernd Verfasser aut Erscheint auch als Online-Ausgabe 978-0-85729-183-7 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931645&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Roch, Steffen 1958- Santos, Pedro A. Silbermann, Bernd Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts Noncommutative algebras Gelfand-Naimark theorem Nichtkommutative Algebra (DE-588)4304013-5 gnd
subject_GND	(DE-588)4304013-5
title	Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts
title_auth	Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts
title_exact_search	Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts
title_full	Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts Steffen Roch ; Pedro A. Santos ; Bernd Silbermann
title_fullStr	Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts Steffen Roch ; Pedro A. Santos ; Bernd Silbermann
title_full_unstemmed	Non-commutative Gelfand theories a tool-kit for operator theorists and numerical analysts Steffen Roch ; Pedro A. Santos ; Bernd Silbermann
title_short	Non-commutative Gelfand theories
title_sort	non commutative gelfand theories a tool kit for operator theorists and numerical analysts
title_sub	a tool-kit for operator theorists and numerical analysts
topic	Noncommutative algebras Gelfand-Naimark theorem Nichtkommutative Algebra (DE-588)4304013-5 gnd
topic_facet	Noncommutative algebras Gelfand-Naimark theorem Nichtkommutative Algebra
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931645&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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