Holdings: Functional analysis

Functional analysis:

Saved in:

Bibliographic Details
Main Author:	Rudin, Walter 1921-2010 (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] McGraw-Hill 1991
Edition:	2. ed.
Series:	International series in pure and applied mathematics
Subjects:	Analyse fonctionnelle Functionaalanalyse Functional analysis Funktionalanalysis
Online Access:	Inhaltsverzeichnis
Item Description:	Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	XV, 424 S.
ISBN:	711113415X 0070542368 9780070619883 0070619883

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV004634974
003	DE-604
005	20151103
007	t
008	911203s1991 \|\|\|\| 00\|\|\| eng d
020			\|a 711113415X \|9 7-111-13415-X
020			\|a 0070542368 \|9 0-07-054236-8
020			\|a 9780070619883 \|9 978-0-07-061988-3
020			\|a 0070619883 \|9 0-07-061988-3
035			\|a (OCoLC)21163277
035			\|a (DE-599)BVBBV004634974
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-91 \|a DE-91G \|a DE-355 \|a DE-29T \|a DE-92 \|a DE-19 \|a DE-824 \|a DE-706 \|a DE-83 \|a DE-739 \|a DE-11 \|a DE-188
050		0	\|a QA320
082	0		\|a 515/.7 \|2 20
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a MAT 460f \|2 stub
100	1		\|a Rudin, Walter \|d 1921-2010 \|e Verfasser \|0 (DE-588)119445670 \|4 aut
245	1	0	\|a Functional analysis \|c Walter Rudin
250			\|a 2. ed.
264		1	\|a New York [u.a.] \|b McGraw-Hill \|c 1991
300			\|a XV, 424 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a International series in pure and applied mathematics
500			\|a Hier auch später erschienene, unveränderte Nachdrucke
650		7	\|a Analyse fonctionnelle \|2 ram
650		7	\|a Functionaalanalyse \|2 gtt
650		4	\|a Functional analysis
650	0	7	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|D s
689	0		\|5 DE-604
856	4	2	\|m Digitalisierung UB Regensburg \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002845267&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-002845267

Record in the Search Index

_version_	1804118754029731840
adam_text	CONTENTS Preface xiii Parti General Theory 1 Topological Vector Spaces з Introduction 3 Separation properties 10 Linear mappings 14 Finite-dimensional spaces 16 Metrization 18 Boundedness and continuity 23 Seminonns and local convexity 25 Quotient spaces 30 Examples 33 Exercises 38 2 Completeness 42 Baire category 42 The Banach-Stemhaus theorem 43 The open mapping theorem 47 The closed graph theorem 50 Bilinear mappings 52 Exercises 53 3 Convexity 56 The Hahn-Banach theorems 56 Weak topologies 62 Compact convex sets 68 Vector-valued integration 77 Holomorphic functions 82 Exercises 85 ix CONTENTS Duality in Banach Spaces 92 The normed dual of a normed space 92 Adjoints 97 Compact operators 103 Exercises 111 Some Applications П6 A continuity theorem 116 Closed subspaces of IP-spaces 117 The range of a vector-valued measure 120 A generalized Stone- Weierstrass theorem 121 Two interpolation theorems 124 Kakutani s fixed point theorem 126 Haar measure on compact groups 128 Uncomplemented subspaces 132 Sums of Poisson kernels 138 Two more fixed point theorems 139 Exercises 144 Part II Distributions and Fourier Transforms 6 Test Functions and Distributions 149 Introduction 149 Test function spaces 151 Calculus with distributions 157 Localization 162 Supports of distributions 164 Distributions as derivatives 167 Convolutions 170 Exercises 177 7 Fourier Transforms 182 Basic properties 182 Tempered distributions 189 Paley-Wiener theorems 196 Sobolev s lemma 202 Exercises 204 8 Applications to Differential Equations 210 Fundamental solutions 210 Elliptic equations 215 Exercises 222 CONTENTS ХІ Tauberian Theory 226 Wiener s theorem 226 The prime number theorem 230 The renewal equation 236 Exercises 239 Part III Banach Algebras and Spectral Theory 10 Banach Algebras 245 Introduction 245 Complex homomorphisms 249 Basic properties of spectra 252 Symbolic calculus 258 The group of invertible elements 267 Lomonosov s invariant subspace theorem 269 Exercises 271 11 Commutative Banach Algebras 275 Ideals and homomorphisms 275 Gelfand transforms 280 Involutions 287 Applications to noncommutative algebras 292 Positive functionals 296 Exercises 301 12 Bounded Operators on a Hubert Space зоб Basic facts 306 Bounded operators 309 A commutativity theorem 315 Resolutions of the identity 316 The spectral theorem 321 Eigenvalues of normal operators 327 Positive operators and square roots 330 The group of invertible operators 333 A characterization of B*-algebras 336 An ergodic theorem 339 Exercises 341 13 Unbounded Operators 347 Introduction 347 Graphs and symmetric operators 351 The Cayley transform 356 Resolutions of the identity 360 The spectral theorem 368 Semigroups of operators 375 Exercises 385 XU CONTENTS Appendix A Compactness and Continuity 391 Appendix В Notes and Comments 397 Bibliography 412 List of Special Symbols 414 Index 417
any_adam_object	1
author	Rudin, Walter 1921-2010
author_GND	(DE-588)119445670
author_facet	Rudin, Walter 1921-2010
author_role	aut
author_sort	Rudin, Walter 1921-2010
author_variant	w r wr
building	Verbundindex
bvnumber	BV004634974
callnumber-first	Q - Science
callnumber-label	QA320
callnumber-raw	QA320
callnumber-search	QA320
callnumber-sort	QA 3320
callnumber-subject	QA - Mathematics
classification_rvk	SK 600
classification_tum	MAT 460f
ctrlnum	(OCoLC)21163277 (DE-599)BVBBV004634974
dewey-full	515/.7
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.7
dewey-search	515/.7
dewey-sort	3515 17
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01733nam a2200457 c 4500</leader><controlfield tag="001">BV004634974</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20151103 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">911203s1991 \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">711113415X</subfield><subfield code="9">7-111-13415-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0070542368</subfield><subfield code="9">0-07-054236-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780070619883</subfield><subfield code="9">978-0-07-061988-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0070619883</subfield><subfield code="9">0-07-061988-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)21163277</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004634974</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA320</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.7</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 460f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rudin, Walter</subfield><subfield code="d">1921-2010</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119445670</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Functional analysis</subfield><subfield code="c">Walter Rudin</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">McGraw-Hill</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 424 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">International series in pure and applied mathematics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analyse fonctionnelle</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functionaalanalyse</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002845267&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002845267</subfield></datafield></record></collection>
id	DE-604.BV004634974
illustrated	Not Illustrated
indexdate	2024-07-09T16:15:19Z
institution	BVB
isbn	711113415X 0070542368 9780070619883 0070619883
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-002845267
oclc_num	21163277
open_access_boolean
owner	DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-92 DE-19 DE-BY-UBM DE-824 DE-706 DE-83 DE-739 DE-11 DE-188
owner_facet	DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-92 DE-19 DE-BY-UBM DE-824 DE-706 DE-83 DE-739 DE-11 DE-188
physical	XV, 424 S.
publishDate	1991
publishDateSearch	1991
publishDateSort	1991
publisher	McGraw-Hill
record_format	marc
series2	International series in pure and applied mathematics
spelling	Rudin, Walter 1921-2010 Verfasser (DE-588)119445670 aut Functional analysis Walter Rudin 2. ed. New York [u.a.] McGraw-Hill 1991 XV, 424 S. txt rdacontent n rdamedia nc rdacarrier International series in pure and applied mathematics Hier auch später erschienene, unveränderte Nachdrucke Analyse fonctionnelle ram Functionaalanalyse gtt Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002845267&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rudin, Walter 1921-2010 Functional analysis Analyse fonctionnelle ram Functionaalanalyse gtt Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd
subject_GND	(DE-588)4018916-8
title	Functional analysis
title_auth	Functional analysis
title_exact_search	Functional analysis
title_full	Functional analysis Walter Rudin
title_fullStr	Functional analysis Walter Rudin
title_full_unstemmed	Functional analysis Walter Rudin
title_short	Functional analysis
title_sort	functional analysis
topic	Analyse fonctionnelle ram Functionaalanalyse gtt Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd
topic_facet	Analyse fonctionnelle Functionaalanalyse Functional analysis Funktionalanalysis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002845267&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT rudinwalter functionalanalysis

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items