Natural function algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY ; Heidelberg ; berlin
Springer-Verlag
1979
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| Series: | Universitext
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 240 Seiten graph. Darst. |
| ISBN: | 0387904492 3540904492 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS PREFACE CHAPTER I. THE CATEGORY OF PAIRS § 1. PAIRS AND SYSTEMS
§ 2. MORPHISMS AND EXTENSIONS OF PAIRS § 3. NATURAL SYSTEMS § 4.
PRODUCTS OF PAIRS § 5. EXAMPLES AND REMARKS CHAPTER II. CONVEXITY AND
NATURALITY A-CONVEX HULLS. HULL-KERNEL TOPOLOGY A-CONVEXITY IN A NATURAL
PAIR [Z, Q] CLOSURE OPERATIONS CONVEXITY AND EXTENSIONS NATURAL
EXTENSIONS EXAMPLES CHAPTER III. THE SILOV BOUNDARY AND LOCAL MAXIMUM
PRINCIPLE §12. INDEPENDENT POINTS §13. THE SILOV BOUNDARY OF A PAIR §14.
A LOCAL MAXIMUM PRINCIPLE FOR NATURAL SYSTEMS §15. APPLICATIONS OF THE
LOCAL MAXIMUM PRINCIPLE CHAPTER IV. HOLOMORPHIC FUNCTIONS §16.
PRESHEAVES OF CONTINUOUS FUNCTIONS §17. LOCAL EXTENSIONS. F-HOLOMORPHIC
FUNCTIONS §18. HOLOMORPHIC MAPS §19. EXAMPLES AND REMARKS CHAPTER V.
MAXIMUM PROPERTIES OF HOLOMORPHIC FUNCTIONS §20. A LOCAL MAXIMUM
PRINCIPLE FOR HOLOMORPHIC FUNCTI §21. HOLOMORPHIC PEAK SETS §22. A
-PRESHEAVES §23. A LEMMA OF GLICKSBERG §24. MAXIMAL A-PRESHEAVES CHAPTER
VI. SUBHARMONIC FUNCTIONS §25. PLURISUBHARMONIC FUNCTIONS IN A N §26.
DEFINITIONS. G-SUBHARMONIC FUNCTIONS §27. BASIC PROPERTIES OF
A-SUBHARMONIC FUNCTIONS §28. PLURISUBHARMONICITY §29. MAXIMUM PROPERTIES
§30. INTEGRAL REPRESENTATIONS §31. CHARACTERIZATION OF A-HARMONIC
FUNCTIONS §32. HARTOG S FUNCTIONS CHAPTER VII. VARIETIES §33. VARIETIES
ASSOCIATED WITH AN A-PRESHEAF 95 §34. CONVEXITY PROPERTIES 97 §35.
GENERALIZATIONS OF SOME RESULTS OF GLICKSBERG 99 §36. CONTINUOUS
FAMILIES OF HYPERSURFACES 103 §37. REMARKS 106 CHAPTER VIII. HOLOMORPHIC
AND SUBHARMONIC CONVEXITY §38. CONVEXITY WITH RESPECT TO AN Q-PRESHEAF
108 §39. PROPERTIES OF SUBHARMONIC CONVEXITY 109 §40. NATURALITY
PROPERTIES 115 §41. HOLOMORPHIC IMPLIED BY SUBHARMONIC CONVEXITY 118
§42. LOCAL PROPERTIES 119 §43. REMARKS AND AN EXAMPLE 120 CHAPTER IX.
[2, Q]-DOMAINS §44. DEFINITIONS 124 §45. DISTANCE FUNCTIONS 125 §46.
HOLOMORPHIC FUNCTIONS 129 §47. RELATIVE COMPLETENESS AND NATURALITY 130
CHAPTER X. HOLOMORPHIC EXTENSIONS OF [2, Q]-D0MAINS §48. MORPHISMS AND
EXTENSIONS. DOMAINS OF HOLOMORPHY 136 §49. EXISTENCE OF MAXIMAL
EXTENSIONS 139 §50. PROPERTIES OF MAXIMAL DOMAINS 143 §51. REMARKS 150
CHAPTER XI. HOLOMORPHY THEORY FOR DUAL PAIRS OF VECTOR SPACES §52.
GENERALIZED POLYNOMIALS AND HOLOMORPHIC FUNCTIONS IN A CLTS 152 §53.
DUAL PAIRS 154 §54. HOLOMORPHIC FUNCTIONS IN A DUAL PAIR 159 §55. ARENS
HOLOMORPHIC FUNCTIONS 164 §56. CANONICAL REPRESENTATION OF DUAL PAIRS
166 §57. DERIVATIVES 168 §58. NATURALITY 171 CHAPTER XII. -DOMAINS OF
HOLOMORPHY §59. HOLOMORPHIC FUNCTIONS IN -DOMAINS 172 §60. SUBDOMAINS
DETERMINED BY A SUBSPACE OF F 173 §61. ENVELOPES OF HOLOMORPHY 175 §62.
SERIES EXPANSIONS 180 §63. THE FINITE DIMENSIONAL COMPONENT OF A DOMAIN
OF HOLOMORPHY 183 §64. THE ALGEBRA OF HOLOMORPHIC FUNCTIONS 184 §65.
HOLOMORPHIC CONVEXITY AND NATURALITY 186 §66. A CARTAN-THULLEN THEOREM
190 CHAPTER XIII. DUAL PAIR THEORY APPLIED TO [Z, Q]-D0MAINS §67. THE
DUAL PAIR EXTENSION OF [2, Q]. A-DOMAINS 193 §68. GERM-VALUED FUNCTIONS
196 §69. TOPOLOGIES FOR [0]$ 204 §70. NATURALITY OF ALGEBRAS OF
GERM-VALUED FUNCTIONS 205 CHAPTER XIV. HOLOMORPHIC EXTENSIONS OF
A-DOMAINS §71. EXTENSION RELATIVE TO GERM-VALUED FUNCTIONS §72. UNIFORM
FAMILIES OF EXTENSIONS §73. PSEUDOEXTENSIONS §74. NATURALITY PROPERTIES
BIBLIOGRAPHY INDEX OF SYMBOLS GENERAL INDEX 210 217 220 227 230 234 237
|
| any_adam_object | 1 |
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| author_variant | c e r ce cer |
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| bvnumber | BV002259428 |
| callnumber-first | Q - Science |
| callnumber-label | QA326 |
| callnumber-raw | QA326 |
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| callnumber-sort | QA 3326 |
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| classification_rvk | SK 600 SK 780 |
| ctrlnum | (OCoLC)5411568 (DE-599)BVBBV002259428 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002259428 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:56Z |
| institution | BVB |
| isbn | 0387904492 3540904492 |
| language | English |
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| oclc_num | 5411568 |
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| physical | XIII, 240 Seiten graph. Darst. |
| psigel | TUB-www |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer-Verlag |
| record_format | marc |
| series2 | Universitext |
| spelling | Rickart, Charles E. 1913-2002 Verfasser (DE-588)108983803 aut Natural function algebras Charles E. Rickart New York, NY ; Heidelberg ; berlin Springer-Verlag 1979 XIII, 240 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Algèbres de fonctions ram Banach, algèbres de ram Banach algebras Function algebras Funktionenalgebra (DE-588)4155686-0 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s DE-604 Funktionenalgebra (DE-588)4155686-0 s OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rickart, Charles E. 1913-2002 Natural function algebras Algèbres de fonctions ram Banach, algèbres de ram Banach algebras Function algebras Funktionenalgebra (DE-588)4155686-0 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| subject_GND | (DE-588)4155686-0 (DE-588)4193187-7 |
| title | Natural function algebras |
| title_auth | Natural function algebras |
| title_exact_search | Natural function algebras |
| title_full | Natural function algebras Charles E. Rickart |
| title_fullStr | Natural function algebras Charles E. Rickart |
| title_full_unstemmed | Natural function algebras Charles E. Rickart |
| title_short | Natural function algebras |
| title_sort | natural function algebras |
| topic | Algèbres de fonctions ram Banach, algèbres de ram Banach algebras Function algebras Funktionenalgebra (DE-588)4155686-0 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| topic_facet | Algèbres de fonctions Banach, algèbres de Banach algebras Function algebras Funktionenalgebra Banach-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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