Holomorphy and calculus in normed spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Dekker
1985
|
| Schriftenreihe: | Pure and applied mathematics
92 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 421 S. |
| ISBN: | 0824772318 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Holomorphy and calculus in normed spaces
Autor: Chae, Soo Bong
Jahr: 1985
Contents Preface v Acknowledgments ix PART I. NORMED SPACES AND DIFFERENTIAL CALCULUS 1. Normed Spaces 3 2. Linear Maps 13 3. Multilinear Maps 28 4. Polynomials 36 5. Differential Maps 52 6. Mean Value Theorem 68 7. Higher Differentials 78 8. Finite Expansions and Taylor s Formula 103 PART II. HOLOMORPHIC MAPPINGS 9. Holomorphic Functions of a Complex Variable 119 10. The Strong Maximum Modulus Theorem 137 11. Power Series 149 12. Analytic Mappings 166 13. Holomorphic Mappings 174 14. Gateaux Holomorphy 193 15. Radius of Boundedness 216 xi
xii Contents PART III. TOPOLOGIES ON SPACES OF HOLOMORPHIC MAPPINGS 16. The Compact Open Topology on H(U;F) 237 17. The Nachbin Topology on H(U;F) 258 18. The Bornological Topology on H(UjF) 284 19. Domains of Holomorphy 299 20. The Levi Problem in Banach Spaces 322 21. Spaces of Holomorphic Germs 343 Appendix Historical Notes on Analyticity as a Concept in Functional Analysis by Angus E. Taylor 375 Bibliography 401 Notation 415 Index 417
|
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| discipline | Mathematik |
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| indexdate | 2024-07-09T15:12:15Z |
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| isbn | 0824772318 |
| language | English |
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| physical | XII, 421 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Dekker |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Chae, Soo Bong Verfasser aut Holomorphy and calculus in normed spaces Soo Bong Chae New York u.a. Dekker 1985 XII, 421 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 92 Differential calculus Holomorphic mappings Normed linear spaces Normierter Raum (DE-588)4127735-1 gnd rswk-swf Holomorphe Abbildung (DE-588)4160471-4 gnd rswk-swf Holomorphe Abbildung (DE-588)4160471-4 s Normierter Raum (DE-588)4127735-1 s DE-604 Pure and applied mathematics 92 (DE-604)BV000001885 92 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000197618&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chae, Soo Bong Holomorphy and calculus in normed spaces Pure and applied mathematics Differential calculus Holomorphic mappings Normed linear spaces Normierter Raum (DE-588)4127735-1 gnd Holomorphe Abbildung (DE-588)4160471-4 gnd |
| subject_GND | (DE-588)4127735-1 (DE-588)4160471-4 |
| title | Holomorphy and calculus in normed spaces |
| title_auth | Holomorphy and calculus in normed spaces |
| title_exact_search | Holomorphy and calculus in normed spaces |
| title_full | Holomorphy and calculus in normed spaces Soo Bong Chae |
| title_fullStr | Holomorphy and calculus in normed spaces Soo Bong Chae |
| title_full_unstemmed | Holomorphy and calculus in normed spaces Soo Bong Chae |
| title_short | Holomorphy and calculus in normed spaces |
| title_sort | holomorphy and calculus in normed spaces |
| topic | Differential calculus Holomorphic mappings Normed linear spaces Normierter Raum (DE-588)4127735-1 gnd Holomorphe Abbildung (DE-588)4160471-4 gnd |
| topic_facet | Differential calculus Holomorphic mappings Normed linear spaces Normierter Raum Holomorphe Abbildung |
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