Holdings: Smooth homogeneous structures in operator theory

Smooth homogeneous structures in operator theory:

Saved in:

Bibliographic Details
Main Author:	Beltiţă, Daniel (Author)
Format:	Book
Language:	English
Published:	Boca Raton [u.a.] Chapman & Hall/CRC 2006
Series:	Monographs and surveys in pure and applied mathematics 137
Subjects:	Funktionalanalysis Homogener Raum Lie-Algebra Operator theory Homogeneous spaces
Online Access:	Publisher description Inhaltsverzeichnis
Physical Description:	XV, 302 S.
ISBN:	158488617X 9781584886174

Staff View

MARC


LEADER	00000nam a2200000zcb4500
001	BV022397557
003	DE-604
005	20070525
007	t
008	070423s2006 xxu \|\|\|\| 00\|\|\| eng d
010			\|a 2005051891
020			\|a 158488617X \|c alk. paper \|9 1-584-88617-X
020			\|a 9781584886174 \|9 978-1-584-88617-4
035			\|a (OCoLC)62225769
035			\|a (DE-599)BVBBV022397557
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a xxu \|c US
049			\|a DE-824
050		0	\|a QA329
082	0		\|a 515/.724
084			\|a SK 620 \|0 (DE-625)143249: \|2 rvk
100	1		\|a Beltiţă, Daniel \|e Verfasser \|4 aut
245	1	0	\|a Smooth homogeneous structures in operator theory \|c by Daniel Beltiţă
264		1	\|a Boca Raton [u.a.] \|b Chapman & Hall/CRC \|c 2006
300			\|a XV, 302 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Monographs and surveys in pure and applied mathematics \|v 137
650		7	\|a Funktionalanalysis \|2 swd
650		7	\|a Homogener Raum \|2 swd
650		7	\|a Lie-Algebra \|2 swd
650		4	\|a Operator theory
650		4	\|a Homogeneous spaces
830		0	\|a Monographs and surveys in pure and applied mathematics \|v 137 \|w (DE-604)BV013350872 \|9 137
856	4		\|u http://www.loc.gov/catdir/enhancements/fy0653/2005051891-d.html \|3 Publisher description
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015606272&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-015606272

Record in the Search Index

_version_	1804136458006560768
adam_text	K CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS I 37 SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY DANIEL BELTI^A CHAPMAN & HALL/CRC TAYLOR SI FRANCIS GROUP BOCA RATON LONDON NEW YORK SINGAPORE CONTENTS PREFACE VII INTRODUCTION XI 1 TOPOLOGICAL LIE ALGEBRAS 3 1.1 FUNDAMENTALS 3 1.2 UNIVERSAL ENVELOPING ALGEBRAS 6 1.3 THE BAKER-CAMPBELL-HAUSDORFF SERIES 9 1.4 CONVERGENCE OF THE BAKER-CAMPBELL-HAUSDORFF SERIES 19 NOTES 24 2 LIE GROUPS AND THEIR LIE ALGEBRAS 25 2.1 DEFINITION OF LIE GROUPS 25 2.2 THE LIE ALGEBRA OF A LIE GROUP 30 2.3 LOGARITHMIC DERIVATIVES 37 2.4 THE EXPONENTIAL MAP 39 2.5 SPECIAL FEATURES OF BANACH-LIE GROUPS 43 NOTES 54 3 ENLARGIBILITY 55 3.1 INTEGRATING LIE ALGEBRA HOMOMORPHISMS 55 3.2 TOPOLOGICAL PROPERTIES OF CERTAIN LIE GROUPS 64 3.3 ENLARGIBLE LIE ALGEBRAS 74 NOTES 76 4 SMOOTH HOMOGENEOUS SPACES 79 4.1 BASIC FACTS ON SMOOTH HOMOGENEOUS SPACES 79 4.2 SYMPLECTIC HOMOGENEOUS SPACES 92 4.3 SOME HOMOGENEOUS SPACES RELATED TO OPERATOR ALGEBRAS ... 98 NOTES . 102 5 QUASIMULTIPLICATIVE MAPS 105 5.1 SUPPORTS, CONVOLUTION, AND QUASIMULTIPLICATIVITY 105 5.2 SEPARATE PARTS OF SUPPORTS 110 5.3 HERMITIAN MAPS 121 NOTES 125 VI SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY 6 COMPLEX STRUCTURES ON HOMOGENEOUS SPACES 127 6.1 GENERAL RESULTS 127 6.2 PSEUDO-KAHLER MANIFOLDS 132 6.3 FLAG MANIFOLDS IN BANACH ALGEBRAS 137 NOTES 143 7 EQUIVARIANT MONOTONE OPERATORS 147 7.1 DEFINITION OF EQUIVARIANT MONOTONE OPERATORS 147 7.2 H-ALGEBRAS AND L-ALGEBRAS 151 7.3 EQUIVARIANT MONOTONE OPERATORS AS REPRODUCING KERNELS . . . 157 7.4 H-IDEALS OF H-ALGEBRAS 163 7.5 ELEMENTARY PROPERTIES OF H-IDEALS 167 NOTES 169 8 L-IDEALS AND EQUIVARIANT MONOTONE OPERATORS 171 8.1 FROM IDEALS TO OPERATORS 171 8.2 FROM OPERATORS TO IDEALS 174 8.3 PARAMETERIZING L*-IDEALS 183 8.4 REPRESENTATIONS OF AUTOMORPHISM GROUPS 189 8.5 APPLICATIONS TO ENLARGIBILITY 191 NOTES 193 ,9 HOMOGENEOUS SPACES OF PSEUDO-RESTRICTED GROUPS 195 9.1 PSEUDO-RESTRICTED ALGEBRAS AND GROUPS 195 9.2 COMPLEX POLARIZATIONS 204 9.3 KAHLER POLARIZATIONS 207 9.4 ADMISSIBLE PAIRS OF OPERATOR IDEALS 213 9.5 SOME KAHLER HOMOGENEOUS SPACES 218 NOTES . 224 A DIFFERENTIAL CALCULUS AND SMOOTH MANIFOLDS 227 A.I LOCALLY CONVEX SPACES AND ALGEBRAS 227 A.2 DIFFERENTIAL CALCULUS AND INFINITE-DIMENSIONAL HOLOMORPHY . . 234 A.3 SMOOTH MANIFOLDS 242 B BASIC DIFFERENTIAL EQUATIONS OF LIE THEORY 255 C TOPOLOGICAL GROUPS 271 REFERENCES 281 INDEX 300
adam_txt	K CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS I 37 SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY DANIEL BELTI^A CHAPMAN & HALL/CRC TAYLOR SI FRANCIS GROUP BOCA RATON LONDON NEW YORK SINGAPORE CONTENTS PREFACE VII INTRODUCTION XI 1 TOPOLOGICAL LIE ALGEBRAS 3 1.1 FUNDAMENTALS 3 1.2 UNIVERSAL ENVELOPING ALGEBRAS 6 1.3 THE BAKER-CAMPBELL-HAUSDORFF SERIES 9 1.4 CONVERGENCE OF THE BAKER-CAMPBELL-HAUSDORFF SERIES 19 NOTES 24 2 LIE GROUPS AND THEIR LIE ALGEBRAS 25 2.1 DEFINITION OF LIE GROUPS 25 2.2 THE LIE ALGEBRA OF A LIE GROUP 30 2.3 LOGARITHMIC DERIVATIVES 37 2.4 THE EXPONENTIAL MAP 39 2.5 SPECIAL FEATURES OF BANACH-LIE GROUPS 43 NOTES 54 3 ENLARGIBILITY 55 3.1 INTEGRATING LIE ALGEBRA HOMOMORPHISMS 55 3.2 TOPOLOGICAL PROPERTIES OF CERTAIN LIE GROUPS 64 3.3 ENLARGIBLE LIE ALGEBRAS 74 NOTES 76 4 SMOOTH HOMOGENEOUS SPACES 79 4.1 BASIC FACTS ON SMOOTH HOMOGENEOUS SPACES 79 4.2 SYMPLECTIC HOMOGENEOUS SPACES 92 4.3 SOME HOMOGENEOUS SPACES RELATED TO OPERATOR ALGEBRAS . 98 NOTES . 102 5 QUASIMULTIPLICATIVE MAPS 105 5.1 SUPPORTS, CONVOLUTION, AND QUASIMULTIPLICATIVITY 105 5.2 SEPARATE PARTS OF SUPPORTS 110 5.3 HERMITIAN MAPS 121 NOTES 125 VI SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY 6 COMPLEX STRUCTURES ON HOMOGENEOUS SPACES 127 6.1 GENERAL RESULTS 127 6.2 PSEUDO-KAHLER MANIFOLDS 132 6.3 FLAG MANIFOLDS IN BANACH ALGEBRAS 137 NOTES 143 7 EQUIVARIANT MONOTONE OPERATORS 147 7.1 DEFINITION OF EQUIVARIANT MONOTONE OPERATORS 147 7.2 H-ALGEBRAS AND L-ALGEBRAS 151 7.3 EQUIVARIANT MONOTONE OPERATORS AS REPRODUCING KERNELS . . . 157 7.4 H-IDEALS OF H-ALGEBRAS 163 7.5 ELEMENTARY PROPERTIES OF H-IDEALS 167 NOTES 169 8 L-IDEALS AND EQUIVARIANT MONOTONE OPERATORS 171 8.1 FROM IDEALS TO OPERATORS 171 8.2 FROM OPERATORS TO IDEALS 174 8.3 PARAMETERIZING L*-IDEALS 183 8.4 REPRESENTATIONS OF AUTOMORPHISM GROUPS 189 8.5 APPLICATIONS TO ENLARGIBILITY 191 NOTES 193 ,9 HOMOGENEOUS SPACES OF PSEUDO-RESTRICTED GROUPS 195 9.1 PSEUDO-RESTRICTED ALGEBRAS AND GROUPS 195 9.2 COMPLEX POLARIZATIONS 204 9.3 KAHLER POLARIZATIONS 207 9.4 ADMISSIBLE PAIRS OF OPERATOR IDEALS 213 9.5 SOME KAHLER HOMOGENEOUS SPACES 218 NOTES . 224 A DIFFERENTIAL CALCULUS AND SMOOTH MANIFOLDS 227 A.I LOCALLY CONVEX SPACES AND ALGEBRAS 227 A.2 DIFFERENTIAL CALCULUS AND INFINITE-DIMENSIONAL HOLOMORPHY . . 234 A.3 SMOOTH MANIFOLDS 242 B BASIC DIFFERENTIAL EQUATIONS OF LIE THEORY 255 C TOPOLOGICAL GROUPS 271 REFERENCES 281 INDEX 300
any_adam_object	1
any_adam_object_boolean	1
author	Beltiţă, Daniel
author_facet	Beltiţă, Daniel
author_role	aut
author_sort	Beltiţă, Daniel
author_variant	d b db
building	Verbundindex
bvnumber	BV022397557
callnumber-first	Q - Science
callnumber-label	QA329
callnumber-raw	QA329
callnumber-search	QA329
callnumber-sort	QA 3329
callnumber-subject	QA - Mathematics
classification_rvk	SK 620
ctrlnum	(OCoLC)62225769 (DE-599)BVBBV022397557
dewey-full	515/.724
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.724
dewey-search	515/.724
dewey-sort	3515 3724
dewey-tens	510 - Mathematics
discipline	Mathematik
discipline_str_mv	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01628nam a2200433zcb4500</leader><controlfield tag="001">BV022397557</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20070525 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">070423s2006 xxu \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2005051891</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">158488617X</subfield><subfield code="c">alk. paper</subfield><subfield code="9">1-584-88617-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781584886174</subfield><subfield code="9">978-1-584-88617-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)62225769</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022397557</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA329</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.724</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Beltiţă, Daniel</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Smooth homogeneous structures in operator theory</subfield><subfield code="c">by Daniel Beltiţă</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton [u.a.]</subfield><subfield code="b">Chapman & Hall/CRC</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 302 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="1" ind2=" "><subfield code="a">Monographs and surveys in pure and applied mathematics</subfield><subfield code="v">137</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homogener Raum</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Lie-Algebra</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homogeneous spaces</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Monographs and surveys in pure and applied mathematics</subfield><subfield code="v">137</subfield><subfield code="w">(DE-604)BV013350872</subfield><subfield code="9">137</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/enhancements/fy0653/2005051891-d.html</subfield><subfield code="3">Publisher description</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</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=015606272&sequence=000001&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:BVB01-015606272</subfield></datafield></record></collection>
id	DE-604.BV022397557
illustrated	Not Illustrated
index_date	2024-07-02T17:17:03Z
indexdate	2024-07-09T20:56:43Z
institution	BVB
isbn	158488617X 9781584886174
language	English
lccn	2005051891
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015606272
oclc_num	62225769
open_access_boolean
owner	DE-824
owner_facet	DE-824
physical	XV, 302 S.
publishDate	2006
publishDateSearch	2006
publishDateSort	2006
publisher	Chapman & Hall/CRC
record_format	marc
series	Monographs and surveys in pure and applied mathematics
series2	Monographs and surveys in pure and applied mathematics
spelling	Beltiţă, Daniel Verfasser aut Smooth homogeneous structures in operator theory by Daniel Beltiţă Boca Raton [u.a.] Chapman & Hall/CRC 2006 XV, 302 S. txt rdacontent n rdamedia nc rdacarrier Monographs and surveys in pure and applied mathematics 137 Funktionalanalysis swd Homogener Raum swd Lie-Algebra swd Operator theory Homogeneous spaces Monographs and surveys in pure and applied mathematics 137 (DE-604)BV013350872 137 http://www.loc.gov/catdir/enhancements/fy0653/2005051891-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015606272&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Beltiţă, Daniel Smooth homogeneous structures in operator theory Monographs and surveys in pure and applied mathematics Funktionalanalysis swd Homogener Raum swd Lie-Algebra swd Operator theory Homogeneous spaces
title	Smooth homogeneous structures in operator theory
title_auth	Smooth homogeneous structures in operator theory
title_exact_search	Smooth homogeneous structures in operator theory
title_exact_search_txtP	Smooth homogeneous structures in operator theory
title_full	Smooth homogeneous structures in operator theory by Daniel Beltiţă
title_fullStr	Smooth homogeneous structures in operator theory by Daniel Beltiţă
title_full_unstemmed	Smooth homogeneous structures in operator theory by Daniel Beltiţă
title_short	Smooth homogeneous structures in operator theory
title_sort	smooth homogeneous structures in operator theory
topic	Funktionalanalysis swd Homogener Raum swd Lie-Algebra swd Operator theory Homogeneous spaces
topic_facet	Funktionalanalysis Homogener Raum Lie-Algebra Operator theory Homogeneous spaces
url	http://www.loc.gov/catdir/enhancements/fy0653/2005051891-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015606272&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV013350872
work_keys_str_mv	AT beltitadaniel smoothhomogeneousstructuresinoperatortheory

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