Holdings: Entropy, compactness and the approximation of operators

Entropy, compactness and the approximation of operators:

Saved in:

Bibliographic Details
Main Authors:	Carl, Bernd (Author), Stephani, Irmtraud (Author)
Format:	Book
Language:	English
Published:	Cambridge u.a.. Cambridge Univ. Pr. 1990
Edition:	1. publ.
Series:	Cambridge tracts in mathematics 98
Subjects:	Entropie Kompakter Operator Informationstheorie Operatortheorie Linearer Operator Banach-Raum Funktionalanalysis
Online Access:	Inhaltsverzeichnis
Physical Description:	X, 277 S.
ISBN:	0521330114

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV004253141
003	DE-604
005	19910502
007	t
008	910308s1990 \|\|\|\| 00\|\|\| eng d
020			\|a 0521330114 \|9 0-521-33011-4
035			\|a (OCoLC)246328735
035			\|a (DE-599)BVBBV004253141
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
049			\|a DE-91G \|a DE-12 \|a DE-384 \|a DE-703 \|a DE-739 \|a DE-355 \|a DE-29T \|a DE-19 \|a DE-83 \|a DE-11 \|a DE-188
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a SK 620 \|0 (DE-625)143249: \|2 rvk
084			\|a MAT 460f \|2 stub
084			\|a MAT 470f \|2 stub
084			\|a MAT 416f \|2 stub
100	1		\|a Carl, Bernd \|e Verfasser \|4 aut
245	1	0	\|a Entropy, compactness and the approximation of operators \|c Bernd Carl ; Irmtraud Stephani
250			\|a 1. publ.
264		1	\|a Cambridge u.a.. \|b Cambridge Univ. Pr. \|c 1990
300			\|a X, 277 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Cambridge tracts in mathematics \|v 98
650	0	7	\|a Entropie \|0 (DE-588)4014894-4 \|2 gnd \|9 rswk-swf
650	0	7	\|a Kompakter Operator \|0 (DE-588)4123545-9 \|2 gnd \|9 rswk-swf
650	0	7	\|a Informationstheorie \|0 (DE-588)4026927-9 \|2 gnd \|9 rswk-swf
650	0	7	\|a Operatortheorie \|0 (DE-588)4075665-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Linearer Operator \|0 (DE-588)4167721-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Banach-Raum \|0 (DE-588)4004402-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Entropie \|0 (DE-588)4014894-4 \|D s
689	0	1	\|a Banach-Raum \|0 (DE-588)4004402-6 \|D s
689	0	2	\|a Kompakter Operator \|0 (DE-588)4123545-9 \|D s
689	0		\|5 DE-604
689	1	0	\|a Entropie \|0 (DE-588)4014894-4 \|D s
689	1	1	\|a Banach-Raum \|0 (DE-588)4004402-6 \|D s
689	1	2	\|a Linearer Operator \|0 (DE-588)4167721-3 \|D s
689	1		\|5 DE-604
689	2	0	\|a Entropie \|0 (DE-588)4014894-4 \|D s
689	2	1	\|a Kompakter Operator \|0 (DE-588)4123545-9 \|D s
689	2		\|5 DE-604
689	3	0	\|a Operatortheorie \|0 (DE-588)4075665-8 \|D s
689	3	1	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|D s
689	3		\|5 DE-604
689	4	0	\|a Funktionalanalysis \|0 (DE-588)4018916-8 \|D s
689	4	1	\|a Entropie \|0 (DE-588)4014894-4 \|D s
689	4	2	\|a Informationstheorie \|0 (DE-588)4026927-9 \|D s
689	4		\|5 DE-604
700	1		\|a Stephani, Irmtraud \|e Verfasser \|4 aut
830		0	\|a Cambridge tracts in mathematics \|v 98 \|w (DE-604)BV000000001 \|9 98
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645726&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-002645726

Record in the Search Index

_version_	1804118449367023616
adam_text	Contents Preface ix Introduction 1 1. Entropy quantities 6 1.1. Entropy numbers of sets 6 1.2. Entropy moduli of sets 10 1.3. Entropy numbers of operators 11 1.4. Entropy moduli of operators 22 1.5. Entropy classes 26 1.6. Operator ideals 35 2. Approximation quantities 41 2.1. Approximation numbers 41 2.2. Kolmogorov numbers 48 2.3. Gelfand numbers 54 2.4. Geometrical parameters 62 2.5. Duality relations 72 2.6. Symmetrized approximation numbers 82 2.7. Local representations of approximation quantities 85 3. Inequalities of Bernstein Jackson type 95 3.1. Inequalities of Bernstein type 96 3.2. Inequalities of Jackson type 101 3.3. Geometrical parameters 105 3.4. The Hilbert space setting 115 3.5. Powers of operators 120 4. A refined Riesz theory 129 4.1. Main aspects of classical Riesz theory 130 4.2. Eigenvalues, entropy quantities, and Weyl type inequalities 139 viii Contents 4.3. Generalizations of the classical spectral radius formula 148 4.4. The Hilbert space setting 151 5. Operators with values in C(X) 159 5.1. Why C(X) valued operators? 159 5.2. Local properties of C(X) 162 5.3. Approximation quantities of C(A ) valued operators 168 5.4. The modulus of continuity of functions 170 5.5. The modulus of continuity of C(X) valued operators 174 5.6. Approximation numbers and the modulus of continuity 178 5.7. Entropy numbers and the modulus of continuity 184 5.8. Entropy properties of connected compact metric spaces 188 5.9. Holder continuous operators 196 5.10. Application of local techniques to Holder continuous operators 199 5.11. Integral operators 212 5.12. Holder continuous integral operators 221 5.13. Operators defined by abstract kernels 225 6. Operator theoretical methods in the local theory of Banach spaces 229 6.1. Norms of projections 230 6.2. Projection constants 239 6.3. Banach Mazur distances d(M, l ) of subspaces M £ /^ 244 6.4. Volumes of convex hulls of finite sets 245 6.5. On a theorem of Pisier 248 6.6. On absolutely 1 summing and 2 summing operators 254 6.7. Tensor product techniques and the little Grothendieck theorem 259 References 268 List of symbols 272 Index 275
any_adam_object	1
author	Carl, Bernd Stephani, Irmtraud
author_facet	Carl, Bernd Stephani, Irmtraud
author_role	aut aut
author_sort	Carl, Bernd
author_variant	b c bc i s is
building	Verbundindex
bvnumber	BV004253141
classification_rvk	SK 600 SK 620
classification_tum	MAT 460f MAT 470f MAT 416f
ctrlnum	(OCoLC)246328735 (DE-599)BVBBV004253141
discipline	Mathematik
edition	1. publ.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02706nam a2200673 cb4500</leader><controlfield tag="001">BV004253141</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19910502 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910308s1990 \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521330114</subfield><subfield code="9">0-521-33011-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246328735</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004253141</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</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">SK 620</subfield><subfield code="0">(DE-625)143249:</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="084" ind1=" " ind2=" "><subfield code="a">MAT 470f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 416f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Carl, Bernd</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Entropy, compactness and the approximation of operators</subfield><subfield code="c">Bernd Carl ; Irmtraud Stephani</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge u.a..</subfield><subfield code="b">Cambridge Univ. Pr.</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 277 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">Cambridge tracts in mathematics</subfield><subfield code="v">98</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kompakter Operator</subfield><subfield code="0">(DE-588)4123545-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Informationstheorie</subfield><subfield code="0">(DE-588)4026927-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kompakter Operator</subfield><subfield code="0">(DE-588)4123545-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Kompakter Operator</subfield><subfield code="0">(DE-588)4123545-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="4" 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="4" ind2="1"><subfield code="a">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2="2"><subfield code="a">Informationstheorie</subfield><subfield code="0">(DE-588)4026927-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stephani, Irmtraud</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">98</subfield><subfield code="w">(DE-604)BV000000001</subfield><subfield code="9">98</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=002645726&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:BVB01-002645726</subfield></datafield></record></collection>
id	DE-604.BV004253141
illustrated	Not Illustrated
indexdate	2024-07-09T16:10:28Z
institution	BVB
isbn	0521330114
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-002645726
oclc_num	246328735
open_access_boolean
owner	DE-91G DE-BY-TUM DE-12 DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-83 DE-11 DE-188
owner_facet	DE-91G DE-BY-TUM DE-12 DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-83 DE-11 DE-188
physical	X, 277 S.
publishDate	1990
publishDateSearch	1990
publishDateSort	1990
publisher	Cambridge Univ. Pr.
record_format	marc
series	Cambridge tracts in mathematics
series2	Cambridge tracts in mathematics
spelling	Carl, Bernd Verfasser aut Entropy, compactness and the approximation of operators Bernd Carl ; Irmtraud Stephani 1. publ. Cambridge u.a.. Cambridge Univ. Pr. 1990 X, 277 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 98 Entropie (DE-588)4014894-4 gnd rswk-swf Kompakter Operator (DE-588)4123545-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Entropie (DE-588)4014894-4 s Banach-Raum (DE-588)4004402-6 s Kompakter Operator (DE-588)4123545-9 s DE-604 Linearer Operator (DE-588)4167721-3 s Operatortheorie (DE-588)4075665-8 s Funktionalanalysis (DE-588)4018916-8 s Informationstheorie (DE-588)4026927-9 s Stephani, Irmtraud Verfasser aut Cambridge tracts in mathematics 98 (DE-604)BV000000001 98 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645726&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Carl, Bernd Stephani, Irmtraud Entropy, compactness and the approximation of operators Cambridge tracts in mathematics Entropie (DE-588)4014894-4 gnd Kompakter Operator (DE-588)4123545-9 gnd Informationstheorie (DE-588)4026927-9 gnd Operatortheorie (DE-588)4075665-8 gnd Linearer Operator (DE-588)4167721-3 gnd Banach-Raum (DE-588)4004402-6 gnd Funktionalanalysis (DE-588)4018916-8 gnd
subject_GND	(DE-588)4014894-4 (DE-588)4123545-9 (DE-588)4026927-9 (DE-588)4075665-8 (DE-588)4167721-3 (DE-588)4004402-6 (DE-588)4018916-8
title	Entropy, compactness and the approximation of operators
title_auth	Entropy, compactness and the approximation of operators
title_exact_search	Entropy, compactness and the approximation of operators
title_full	Entropy, compactness and the approximation of operators Bernd Carl ; Irmtraud Stephani
title_fullStr	Entropy, compactness and the approximation of operators Bernd Carl ; Irmtraud Stephani
title_full_unstemmed	Entropy, compactness and the approximation of operators Bernd Carl ; Irmtraud Stephani
title_short	Entropy, compactness and the approximation of operators
title_sort	entropy compactness and the approximation of operators
topic	Entropie (DE-588)4014894-4 gnd Kompakter Operator (DE-588)4123545-9 gnd Informationstheorie (DE-588)4026927-9 gnd Operatortheorie (DE-588)4075665-8 gnd Linearer Operator (DE-588)4167721-3 gnd Banach-Raum (DE-588)4004402-6 gnd Funktionalanalysis (DE-588)4018916-8 gnd
topic_facet	Entropie Kompakter Operator Informationstheorie Operatortheorie Linearer Operator Banach-Raum Funktionalanalysis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645726&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000001
work_keys_str_mv	AT carlbernd entropycompactnessandtheapproximationofoperators AT stephaniirmtraud entropycompactnessandtheapproximationofoperators

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