Fredholm theory in Banach spaces: = Theori Fredholm yng ngogodau Banach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Pr.
1986
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge tracts in mathematics
86 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | PST: Theori Fredholm yug ngofodau Banach |
| Beschreibung: | X, 293 S. |
| ISBN: | 0521248469 |
Internformat
MARC
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| 100 | 1 | |a Ruston, Anthony F. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Theori Fredholm yng ngofodau Banach |
| 245 | 1 | 0 | |a Fredholm theory in Banach spaces |b = Theori Fredholm yng ngogodau Banach |
| 246 | 1 | 1 | |a Theori Fredholm yng ngogodau Banach |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Pr. |c 1986 | |
| 300 | |a X, 293 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 86 | |
| 500 | |a PST: Theori Fredholm yug ngofodau Banach | ||
| 650 | 7 | |a Banach, Espaces de |2 ram | |
| 650 | 0 | 7 | |a Fredholm-Theorie |0 (DE-588)4155263-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fredholm-Operator |0 (DE-588)4155256-8 |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 Fredholm-Integralgleichung |0 (DE-588)4155261-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Fredholm-Theorie |0 (DE-588)4155263-5 |D s |
| 689 | 0 | 1 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
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| 689 | 2 | 1 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
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| 830 | 0 | |a Cambridge tracts in mathematics |v 86 |w (DE-604)BV000000001 |9 86 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-000323824 | ||
Datensatz im Suchindex
| _version_ | 1804114972476702720 |
|---|---|
| adam_text | Contents
Preface ix
1 Introduction 1
1.1 The classical Fredholm theory 1
1.2 Summary 5
1.3 The complexification of real normed spaces 7
2 Asymptotically quasi compact operators and the Riesz theory 17
2.1 Asymptotically quasi compact operators 17
2.2 Null elements and the null space 23
2.3 Nucleus elements and the nucleus space 28
2.4 The Riesz decomposition of an operator on a Banach space 33
3 Tensor products of normed spaces 42
3.1 Introduction 42
3.2 Norms 51
3.3 The crossnorms y and X 55
3.4 The tensor product of a normed space and its conjugate 66
4 Fredholm theory for operators of finite rank 78
4.1 Tensors 78
4.2 Degenerate tensors 92
4.3 The Fredholm coefficients 104
4.4 The Fredholm formulae using determinants 109
4.5 The Fredholm theory 112
5 Operators with a Fredholm determinant 118
5.1 Fredholm formulae 118
5.2 Fredholm theory 124
5.3 Riesz theory 126
5.4 Riesz operators and Fredholm determinants 127
vii
viii Contents
6 Fredholm formulae and the Riesz theory 135
6.1 Fredholm formulae 135
6.2 The Riesz theory 138
6.3 The Riesz decomposition 154
6.4 Alternative bases for the null space 157
7 Fredholm formulae for special classes of operators 166
7.1 The trace class of nuclear operators 166
7.2 The Lezanski Sikorski theory 177
7.3 The Grothendieck theory 194
7.4 The Saphar theory 204
8 Notes and Comments 214
8.1 Introduction 214
8.2 Asymptotically quasi compact operators and the Riesz theory 222
8.3 Tensor products of normed spaces 226
8.4 Fredholm theory for operators of finite rank 234
8.5 Operators with a Fredholm determinant 234
8.6 Fredholm formulae and the Riesz theory 241
8.7 Fredholm formulae for special classes of operators 244
8.8 Further developments 248
Bibliography 250
Index of notations 285
Subject index 288
|
| any_adam_object | 1 |
| author | Ruston, Anthony F. |
| author_facet | Ruston, Anthony F. |
| author_role | aut |
| author_sort | Ruston, Anthony F. |
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| building | Verbundindex |
| bvnumber | BV000525099 |
| classification_rvk | SK 600 SK 620 SK 640 |
| classification_tum | MAT 462f |
| ctrlnum | (OCoLC)468265643 (DE-599)BVBBV000525099 |
| dewey-full | 515.732 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.732 |
| dewey-search | 515.732 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV000525099 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:15:13Z |
| institution | BVB |
| isbn | 0521248469 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000323824 |
| oclc_num | 468265643 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-706 DE-11 DE-83 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-706 DE-11 DE-83 DE-188 |
| physical | X, 293 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Cambridge Univ. Pr. |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Ruston, Anthony F. Verfasser aut Theori Fredholm yng ngofodau Banach Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach Theori Fredholm yng ngogodau Banach 1. publ. Cambridge u.a. Cambridge Univ. Pr. 1986 X, 293 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 86 PST: Theori Fredholm yug ngofodau Banach Banach, Espaces de ram Fredholm-Theorie (DE-588)4155263-5 gnd rswk-swf Fredholm-Operator (DE-588)4155256-8 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Fredholm-Integralgleichung (DE-588)4155261-1 gnd rswk-swf Fredholm-Theorie (DE-588)4155263-5 s Banach-Raum (DE-588)4004402-6 s DE-604 Fredholm-Integralgleichung (DE-588)4155261-1 s Fredholm-Operator (DE-588)4155256-8 s Cambridge tracts in mathematics 86 (DE-604)BV000000001 86 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000323824&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ruston, Anthony F. Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach Cambridge tracts in mathematics Banach, Espaces de ram Fredholm-Theorie (DE-588)4155263-5 gnd Fredholm-Operator (DE-588)4155256-8 gnd Banach-Raum (DE-588)4004402-6 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| subject_GND | (DE-588)4155263-5 (DE-588)4155256-8 (DE-588)4004402-6 (DE-588)4155261-1 |
| title | Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach |
| title_alt | Theori Fredholm yng ngofodau Banach Theori Fredholm yng ngogodau Banach |
| title_auth | Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach |
| title_exact_search | Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach |
| title_full | Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach |
| title_fullStr | Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach |
| title_full_unstemmed | Fredholm theory in Banach spaces = Theori Fredholm yng ngogodau Banach |
| title_short | Fredholm theory in Banach spaces |
| title_sort | fredholm theory in banach spaces theori fredholm yng ngogodau banach |
| title_sub | = Theori Fredholm yng ngogodau Banach |
| topic | Banach, Espaces de ram Fredholm-Theorie (DE-588)4155263-5 gnd Fredholm-Operator (DE-588)4155256-8 gnd Banach-Raum (DE-588)4004402-6 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| topic_facet | Banach, Espaces de Fredholm-Theorie Fredholm-Operator Banach-Raum Fredholm-Integralgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000323824&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
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