Fredholm theory in Banach spaces: Theori Fredholm yng ngofodau Banach
In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1986
|
| Series: | Cambridge tracts in mathematics
86 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Summary: | In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications |
| Physical Description: | 1 Online-Ressource (x, 293 Seiten) |
| ISBN: | 9780511569180 |
| DOI: | 10.1017/CBO9780511569180 |
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| 520 | |a In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications | ||
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| author | Ruston, Anthony F. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.7/32 |
| dewey-sort | 3515.7 232 |
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| discipline | Mathematik |
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| id | DE-604.BV043941980 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511569180 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350950 |
| oclc_num | 849882888 |
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| physical | 1 Online-Ressource (x, 293 Seiten) |
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| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Ruston, Anthony F. Verfasser (DE-588)1158161514 aut Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach Anthony F. Ruston Cambridge Cambridge University Press 1986 1 Online-Ressource (x, 293 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 86 In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications Banach spaces Fredholm equations Fredholm operators 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 Erscheint auch als Druck-Ausgabe 978-0-521-24846-4 Erscheint auch als Druck-Ausgabe 978-0-521-60493-2 https://doi.org/10.1017/CBO9780511569180 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ruston, Anthony F. Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach Banach spaces Fredholm equations Fredholm operators 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 ngofodau Banach |
| title_auth | Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach |
| title_exact_search | Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach |
| title_full | Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach Anthony F. Ruston |
| title_fullStr | Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach Anthony F. Ruston |
| title_full_unstemmed | Fredholm theory in Banach spaces Theori Fredholm yng ngofodau Banach Anthony F. Ruston |
| title_short | Fredholm theory in Banach spaces |
| title_sort | fredholm theory in banach spaces theori fredholm yng ngofodau banach |
| title_sub | Theori Fredholm yng ngofodau Banach |
| topic | Banach spaces Fredholm equations Fredholm operators 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 spaces Fredholm equations Fredholm operators Fredholm-Theorie Fredholm-Operator Banach-Raum Fredholm-Integralgleichung |
| url | https://doi.org/10.1017/CBO9780511569180 |
| work_keys_str_mv | AT rustonanthonyf fredholmtheoryinbanachspacestheorifredholmyngngofodaubanach |