Multivalued linear operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1998
|
| Schriftenreihe: | Pure and applied mathematics
213 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 335 S. |
| ISBN: | 0824702190 |
Internformat
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| 245 | 1 | 0 | |a Multivalued linear operators |c Ronald Cross |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1998 | |
| 300 | |a IX, 335 S. | ||
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Datensatz im Suchindex
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| adam_text | MULTIVALUED LINEAR OPERATORS RONALD CROSS UNIVERSITY OF CAPE TOWN
RONDEBOSCH, SOUTH AFRICA MARCEL MARCEL DEKKER, INC. NEW YORK * BASEL *
HONG KONG CONTENTS PREFACE III I LINEAR RELATIONS: ALGEBRAIC PROPERTIES
1 1.1 RELATIONS ON SETS 1 1.2 LINEAR RELATIONS (MULTIVALUED LINEAR
OPERATORS) 4 1.3 OPERATIONAL RULES FOR A SINGLE LINEAR RELATION 9 1.4
THE ALGEBRA OF LINEAR RELATIONS 10 1.5 LINEAR SELECTIONS 14 1.6
DIMENSION OF DOMAIN AND RANGE 17 1.7 ADDITIONAL EXAMPLES 22 1.8 NOTES
AND REMARKS 23 II NORMED LINEAR RELATIONS 25 II. 1 THE NORM OF A LINEAR
RELATION 25 11.2 THE MINIMUM MODULUS 29 11.3 CONTINUITY AND OPENNESS 32
11.4 CONTINUOUS SELECTIONS 40 11.5 CLOSED AND CLOSABLE LINEAR RELATIONS
43 11.6 THE MINIMUM MODULUS UNDER RESTRICTION 48 11.7 AN EXAMPLE FROM
APPROXIMATION THEORY 50 11.8 NOTES AND REMARKS 53 III ADJOINTS OF LINEAR
RELATIONS 55 111.1 THE ADJOINT 111.2 POLAR RELATIONSHIPS 111.3 THE
MINIMAL GAP BETWEEN A PAIR OF SUBSPACES 111.4 CLOSED GRAPH, OPEN MAPPING
AND CLOSED RANGE THEOREMS 111.5 ALMOST OPEN RELATIONS 111.6 THE STATE
DIAGRAM III. 7 SMALL PERTURBATION THEOREM 111.8 THE D(T )-SEMINORM AND
THE CONTINUITY OF T AND T 111.9 DIFFERENTIAL OPERATORS: AN INTEGRAL
BOUNDARY VALUE PROBLEM 111.10 NOTES AND REMARKS CONTENTS IV OPERATIONAL
QUANTITIES OF LINEAR RELATIONS IV. 1 THE QUANTITIES IV.2 INEQUALITIES
IV. 3 THE GRAPH OPERATOR IV.4 DENSITY INVARIANCE OF CERTAIN QUANTITIES
IV.5 QUANTITIES DETERMINED BY QUOTIENTS IV.6 NOTES AND REMARKS V
SEMI-FREDHOLM LINEAR RELATIONS V.I THE MAIN CLASSES: PRELIMINARY RESULTS
V.2 ZERO SETS OF THE QUANTITIES V.3 PERTURBATION THEOREMS FOR F+
RELATIONS V.4 UBIQUITOUS PROPERTIES V.5 LOWER SEMI-FREDHOLM RELATIONS
V.6 OPERATOR RANGES V.7 THE ESSENTIAL STATE DIAGRAM V.8 ESSENTIAL STATE
DIAGRAM FOR CLOSED RELATIONS V.9 DENSITY INVARIANCE OF COMPLETELY
CLOSABLE LINEAR RELATIONS V.10 INVERSES OF SEMI-FREDHOLM RELATIONS V.LL
INVERSE STATE DIAGRAMS V.12 UBIQUITOUSLY OPEN RELATIONS V.13 CANONICAL
FACTORISATION V.14 COMPACTNESS OF THE ADJOINT V.15 STABILITY OF THE
INDEX V.16 THE STABILITY OF COMPLEMENTED RANGES V.17 UBIQUITOUS
PROPERTIES OF THE QUANTITIES V.18 SUMMARY OF EQUIVALENT FORMULATIONS OF
THE UPPER SEMI-FREDHOLM PROPERTY V.19 NOTES AND REMARKS VI SPECTRAL
THEORY VI. 1 THE SPECTRUM AND THE RESOLVENT OPERATOR VI.2 CLASSIFICATION
OF THE SPECTRUM: EIGENVALUES VI.3 EXISTENCE OF A NON-EMPTY SPECTRUM VI.4
COMPACTNESS OF THE AUGMENTED SPECTRUM CONTENTS IX VI.5 SPECTRAL MAPPING
THEOREM 229 VI.6 NOTES AND REMARKS 230 VII THE ESSENTIAL SPECTRUM 232
VII.1 PRELIMINARY PERTURBATION RESULTS 232 VII.2 RELATIVE BOUNDEDNESS
AND RELATIVE COMPACTNESS 233 VII.3 STABILITY OF THE ESSENTIAL SPECTRUM
241 VII.4 NOTES AND REMARKS 243 VIII THE SECOND ADJOINT OF A LINEAR
RELATION 244 VIII. 1 PRELIMINARY RESULTS 244 VIII.2 WEAKLY COMPACT
LINEAR RELATIONS 248 VIII.3 EXAMPLES OF WEAKLY COMPACT RELATIONS 258
VIII.4 WEAKLY COMPLETELY CONTINUOUS AND UNCONDITIONALLY CONVERGING
LINEAR RELATIONS 260 VIII.5 TAUBERIAN RELATIONS 268 VIII.6 GEOMETRIC
PROPERTIES OF TAUBERIAN RELATIONS 278 VIII.7 OPEN TAUBERIAN RELATIONS
279 VIII.8 FURTHER TAUBERIAN PROPERTIES 282 VIII.9 NOTES AND REMARKS -
287 BIBLIOGRAPHY 289 INDEX OF OPERATIONAL QUANTITIES 317 NOTATION INDEX
319 INDEX 321
|
| any_adam_object | 1 |
| author | Cross, Ronald |
| author_facet | Cross, Ronald |
| author_role | aut |
| author_sort | Cross, Ronald |
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| building | Verbundindex |
| bvnumber | BV012171764 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.2 |
| callnumber-search | QA329.2 |
| callnumber-sort | QA 3329.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 SK 820 |
| ctrlnum | (OCoLC)39189912 (DE-599)BVBBV012171764 |
| dewey-full | 515/.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7246 |
| dewey-search | 515/.7246 |
| dewey-sort | 3515 47246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012171764 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:22:58Z |
| institution | BVB |
| isbn | 0824702190 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008246452 |
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| physical | IX, 335 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Cross, Ronald Verfasser aut Multivalued linear operators Ronald Cross New York [u.a.] Dekker 1998 IX, 335 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 213 Linear operators Linearer Operator (DE-588)4167721-3 gnd rswk-swf Mengenwertiger Operator (DE-588)4604992-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s Mengenwertiger Operator (DE-588)4604992-7 s DE-604 Pure and applied mathematics 213 (DE-604)BV000001885 213 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008246452&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cross, Ronald Multivalued linear operators Pure and applied mathematics Linear operators Linearer Operator (DE-588)4167721-3 gnd Mengenwertiger Operator (DE-588)4604992-7 gnd |
| subject_GND | (DE-588)4167721-3 (DE-588)4604992-7 |
| title | Multivalued linear operators |
| title_auth | Multivalued linear operators |
| title_exact_search | Multivalued linear operators |
| title_full | Multivalued linear operators Ronald Cross |
| title_fullStr | Multivalued linear operators Ronald Cross |
| title_full_unstemmed | Multivalued linear operators Ronald Cross |
| title_short | Multivalued linear operators |
| title_sort | multivalued linear operators |
| topic | Linear operators Linearer Operator (DE-588)4167721-3 gnd Mengenwertiger Operator (DE-588)4604992-7 gnd |
| topic_facet | Linear operators Linearer Operator Mengenwertiger Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008246452&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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