Verfügbarkeit: Introduction to Banach spaces and algebras

Introduction to Banach spaces and algebras:

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Bibliographische Detailangaben
Beteiligte Personen:	Allan, Graham A. (VerfasserIn), Dales, H. Garth 1944- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Oxford [u.a.] Oxford Univ. Press 2011
Ausgabe:	1. publ.
Schriftenreihe:	Oxford graduate texts in mathematics 20
Schlagwörter:	Banach-Algebra Banach-Raum
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016658073&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 371 S. graph. Darst.
ISBN:	9780199206544 9780199206537

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Datensatz im Suchindex

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adam_text	Contents Introduction 1 PART I INTRODUCTION TO BANACH SPACES 1. Preliminaries 7 Remarks on set theory 8 Metric spaces and analytic topology 16 Complex analysis 30 2. Elements of normed spaces 33 Definitions and basic examples 33 Weierstrass approximation theorems 60 Inner-product spaces 70 Elementary ideas on Fourier series 84 Fourier integrals and Hermite functions 98 3. Banach spaces 106 Existence of continuous linear functionals 106 Separation theorems 122 Category theorems 128 Dual operators 140 PART II INTRODUCTION TO BANACH ALGEBRAS 4. Banach algebras 155 Elementary theory 155 Commutative Banach algebras 185 Runge s theorem and the holomorphic functional calculus 211 5. Representation theory 226 Representations and modules 226 Automatic continuity 241 Variation of the spectral radius 248 6. Algebras with an involution 260 Banach algebras with an involution 260 C -algebras 269 7. The Borei functional calculus 285 The Danieli integral 285 The Borei functional calculus and the spectral theorem 294 viii Contents PART 111 SEVERAL COMPLEX VARIABLES AND BANACH ALGEBRAS 8. Introduction to several complex variables 305 Differentiable functions in the plane 305 Functions of several variables 313 Polynomial convexity 326 9. The holomorphic functional calculus in several variables 339 The main theorem 339 Applications of the functional calculus 345 References 354 Index of terms 363 Index of symbols 36g
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isbn	9780199206544 9780199206537
language	English
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physical	VIII, 371 S. graph. Darst.
publishDate	2011
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publisher	Oxford Univ. Press
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series	Oxford graduate texts in mathematics
series2	Oxford graduate texts in mathematics
spellingShingle	Allan, Graham A. Dales, H. Garth 1944- Introduction to Banach spaces and algebras Oxford graduate texts in mathematics Banach-Algebra (DE-588)4193187-7 gnd Banach-Raum (DE-588)4004402-6 gnd
subject_GND	(DE-588)4193187-7 (DE-588)4004402-6
title	Introduction to Banach spaces and algebras
title_auth	Introduction to Banach spaces and algebras
title_exact_search	Introduction to Banach spaces and algebras
title_full	Introduction to Banach spaces and algebras Graham R. Allan. Prepared for publ. by H. Garth Dales
title_fullStr	Introduction to Banach spaces and algebras Graham R. Allan. Prepared for publ. by H. Garth Dales
title_full_unstemmed	Introduction to Banach spaces and algebras Graham R. Allan. Prepared for publ. by H. Garth Dales
title_short	Introduction to Banach spaces and algebras
title_sort	introduction to banach spaces and algebras
topic	Banach-Algebra (DE-588)4193187-7 gnd Banach-Raum (DE-588)4004402-6 gnd
topic_facet	Banach-Algebra Banach-Raum
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016658073&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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