A local spectral theory for closed operators:
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some compl...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1985
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| Schriftenreihe: | London Mathematical Society lecture note series
105 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (178 pages) |
| ISBN: | 9780511662249 |
| DOI: | 10.1017/CBO9780511662249 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest | ||
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| 650 | 4 | |a Banach spaces | |
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Datensatz im Suchindex
| _version_ | 1804176883750797312 |
|---|---|
| any_adam_object | |
| author | Erdelyi, Ivan 1926- |
| author_facet | Erdelyi, Ivan 1926- |
| author_role | aut |
| author_sort | Erdelyi, Ivan 1926- |
| author_variant | i e ie |
| building | Verbundindex |
| bvnumber | BV043941678 |
| classification_rvk | SI 320 SK 620 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511662249 (OCoLC)967775440 (DE-599)BVBBV043941678 |
| dewey-full | 515.7/24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/24 |
| dewey-search | 515.7/24 |
| dewey-sort | 3515.7 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511662249 |
| format | Electronic eBook |
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| id | DE-604.BV043941678 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511662249 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350648 |
| oclc_num | 967775440 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (178 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Erdelyi, Ivan 1926- Verfasser aut A local spectral theory for closed operators Ivan Erdelyi, Wang Shengwang Cambridge Cambridge University Press 1985 1 online resource (178 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 105 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest Closed operators Banach spaces Spectral theory (Mathematics) Abgeschlossener Operator (DE-588)4480714-4 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Abgeschlossener linearer Operator (DE-588)4141055-5 gnd rswk-swf Lokale Spektraltheorie (DE-588)4168110-1 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Abgeschlossener Operator (DE-588)4480714-4 s Banach-Raum (DE-588)4004402-6 s 1\p DE-604 Lokale Spektraltheorie (DE-588)4168110-1 s Abgeschlossener linearer Operator (DE-588)4141055-5 s 2\p DE-604 Wang, Shengwang 1932- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-31314-8 https://doi.org/10.1017/CBO9780511662249 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Erdelyi, Ivan 1926- A local spectral theory for closed operators Closed operators Banach spaces Spectral theory (Mathematics) Abgeschlossener Operator (DE-588)4480714-4 gnd Banach-Raum (DE-588)4004402-6 gnd Spektraltheorie (DE-588)4116561-5 gnd Abgeschlossener linearer Operator (DE-588)4141055-5 gnd Lokale Spektraltheorie (DE-588)4168110-1 gnd |
| subject_GND | (DE-588)4480714-4 (DE-588)4004402-6 (DE-588)4116561-5 (DE-588)4141055-5 (DE-588)4168110-1 |
| title | A local spectral theory for closed operators |
| title_auth | A local spectral theory for closed operators |
| title_exact_search | A local spectral theory for closed operators |
| title_full | A local spectral theory for closed operators Ivan Erdelyi, Wang Shengwang |
| title_fullStr | A local spectral theory for closed operators Ivan Erdelyi, Wang Shengwang |
| title_full_unstemmed | A local spectral theory for closed operators Ivan Erdelyi, Wang Shengwang |
| title_short | A local spectral theory for closed operators |
| title_sort | a local spectral theory for closed operators |
| topic | Closed operators Banach spaces Spectral theory (Mathematics) Abgeschlossener Operator (DE-588)4480714-4 gnd Banach-Raum (DE-588)4004402-6 gnd Spektraltheorie (DE-588)4116561-5 gnd Abgeschlossener linearer Operator (DE-588)4141055-5 gnd Lokale Spektraltheorie (DE-588)4168110-1 gnd |
| topic_facet | Closed operators Banach spaces Spectral theory (Mathematics) Abgeschlossener Operator Banach-Raum Spektraltheorie Abgeschlossener linearer Operator Lokale Spektraltheorie |
| url | https://doi.org/10.1017/CBO9780511662249 |
| work_keys_str_mv | AT erdelyiivan alocalspectraltheoryforclosedoperators AT wangshengwang alocalspectraltheoryforclosedoperators |