Hausdorff spectra in functional analysis:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
London [u.a.]
Springer
2002
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | VIII, 209 S. graph. Darst. |
| ISBN: | 1852335718 |
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MARC
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Record in the Search Index
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| adam_text |
EUGENY SMIRNOV TRANSLATED BY IAN TWEDDLE HAUSDORFF SPECTRA IN FUNCTIONAL
ANALYSIS WITH 38 FIGURES SPRINGER TABLE OF CONTENTS INTRODUCTION 1 1.
INFRA-ADDITIVE FUNCTIONALS IN ANALYSIS 15 1.1 INFRA-ADDITIVE FUNCTIONALS
AND PRINCIPLES OF UNIFORM BOUNDEDNESS 15 1.1.1 INFRA-ADDITIVE
FUNCTIONALS 15 1.1.2 FAMILIES OF INFRA-ADDITIVE FUNCTIONALS 18 1.1.3
APPLICATIONS 20 1.2 ON A CERTAIN PROPERTY OF COUNTABLY SEMIADDITIVE
FUNCTIONALS 24 1.2.1 COUNTABLY SEMIADDITIVE FUNCTIONALS 24 1.2.2
TOPOLOGICAL VECTOR GROUPS 34 1.3 CERTAIN FUNCTIONAL-ANALYTIC METHODS IN
MEASURE THEORY . 36 1.3.1 UNIVERSALLY WEAK CONVERGENCE 36 1.3.2
PSEUDOTOPOLOGIES AND UNIVERSALLY WEAK CONVERGENCE 40 1.3.3
PSEUDOTOPOLOGIES IN MEASURE THEORY 43 1.4 5W-SPACES AND THE CLOSED GRAPH
THEOREM 44 1.4.1 GROTHENDIECK'S PROBLEM IN FUNCTIONAL ANALYSIS 45 1.4.2
THE DUAL SPACE OF AN S#-SPACE 49 1.4.3 BILINEAR FUNCTIONALS AND
SIJ-SPACES 53 2. SOME APPLICATIONS OF SH-SPACES 57 2.1 UNIFORM
CORRECTNESS OF THE CAUCHY PROBLEM IN AN SH-SPA.CE 57 2.1.1 (K,
W)-REPRESENTABLE SPACES 58 2.1.2 UNIFORM CORRECTNESS OF THE CAUCHY
PROBLEM 60 2.2 DIFFERENTIABILITY WITH RESPECT TO A CONE IN SH-SPA,CES
AND THE KUHN-TUCKER THEOREM 62 2.2.1 NONOBLATE CONES IN SH-SPACES 63
2.2.2 COMPACT DIFFERENTIABILITY WITH RESPECT TO A CONE . 65 2.2.3 THE
LAGRANGE FUNCTION IN 5I?-SPACES 68 2.3 COUNTABLY SEMIADDITIVE
FUNCTIONALS AND THE HARDY- LITTLEWOOD MAXIMAL OPERATOR 68 2.3.1 THE
HARDY-LITTLEWOOD MAXIMAL FUNCTION OPERATOR . 69 VIII TABLE OF CONTENTS
2.3.2 DIFFERENTIAL BASES IN SYMMETRIC SPACES 74 3. HAUSDORFF SPECTRUM
FUNCTORS 93 3.1 STANDARD EXTENSION OF A SMALL CATEGORY 94 3.2 ADMISSIBLE
CLASSES 3" AND THE METHOD OF TRANSFORMATION OF INDICES 99 3.3 HAUSDORFF
SPECTRA OVER A CATEGORY Q 105 4. THE JF-LIMIT OF A HAUSDORFF SPECTRUM IN
A SEMIABELIAN CATEGORY S ILL 4.1 THE IF-LIMIT OF A HAUSDORFF SPECTRUM IN
THE CATEGORY TLC ILL 4.2 THE I7-LIMIT OF A HAUSDORFF SPECTRUM OF
IF-SPACES 121 4.3 THE I/-LIMIT IN A CR-COMPLETE VECTOR LATTICE 131 4.3.1
THE (JS-OPERATIONS 131 4.3.2 THE FF-LIMIT OF A SEQUENCE 133 4.4
PSEUDOTOPOLOGIES ON THE SPACE S(X, 05, M) 134 4.4.1 FIBRED SPACES 134
4.4.2 PSEUDOTOPOLOGIES AND FIBRED SPACES 136 4.4.3 PSEUDOTOPOLOGICAL
VECTOR SPACES 138 4.5 HAUSDORFF SPECTRA AND SHEAVES OF LOCALLY CONVEX
SPACES . . 143 4.6 WEIERSTRASS'S GLOBAL DIVISION THEOREM 149 5. EXACT
SEQUENCES OF HAUSDORFF SPECTRA 159 5.1 THE CATEGORY % OF HAUSDORFF
SPECTRA OVER A SEMIABELIAN CATEGORY Q 159 5.2 THE CATEGORICAL IJ-LIMIT
OF A HAUSDORFF SPECTRUM 166 5.3 EXACTNESS OF THE FUNCTOR HAUS : U -» TLC
169 5.4 VANISHING OF THE DERIVATIVES OF THE FUNCTOR HAUS 173 GLOSSARY
187 REFERENCES 201 SUBJECT INDEX 207 |
| any_adam_object | 1 |
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| author_facet | Smirnov, Evgenij |
| author_role | aut |
| author_sort | Smirnov, Evgenij |
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| bvnumber | BV014685828 |
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| discipline | Mathematik |
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| id | DE-604.BV014685828 |
| illustrated | Illustrated |
| indexdate | 2025-03-31T20:04:03Z |
| institution | BVB |
| isbn | 1852335718 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009959794 |
| oclc_num | 611692029 |
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| owner_facet | DE-703 DE-634 |
| physical | VIII, 209 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Smirnov, Evgenij Verfasser aut Hausdorff spectra in functional analysis Eugeny Smirnov. Transl. by Ian Tweddle London [u.a.] Springer 2002 VIII, 209 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Aus dem Russ. übers. Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Spektrum Mathematik (DE-588)4182180-4 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s Spektrum Mathematik (DE-588)4182180-4 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009959794&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Smirnov, Evgenij Hausdorff spectra in functional analysis Funktionalanalysis (DE-588)4018916-8 gnd Spektrum Mathematik (DE-588)4182180-4 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4182180-4 |
| title | Hausdorff spectra in functional analysis |
| title_auth | Hausdorff spectra in functional analysis |
| title_exact_search | Hausdorff spectra in functional analysis |
| title_full | Hausdorff spectra in functional analysis Eugeny Smirnov. Transl. by Ian Tweddle |
| title_fullStr | Hausdorff spectra in functional analysis Eugeny Smirnov. Transl. by Ian Tweddle |
| title_full_unstemmed | Hausdorff spectra in functional analysis Eugeny Smirnov. Transl. by Ian Tweddle |
| title_short | Hausdorff spectra in functional analysis |
| title_sort | hausdorff spectra in functional analysis |
| topic | Funktionalanalysis (DE-588)4018916-8 gnd Spektrum Mathematik (DE-588)4182180-4 gnd |
| topic_facet | Funktionalanalysis Spektrum Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009959794&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT smirnovevgenij hausdorffspectrainfunctionalanalysis |