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: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1985.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
105. |
| Schlagworte: | |
| Online-Zugang: | 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: | 1 online resource (178 pages) |
| Bibliographie: | Includes bibliographical references (pages 162-176) and index. |
| ISBN: | 9781107087699 1107087694 9780511662249 0511662246 |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:22Z |
| institution | BVB |
| isbn | 9781107087699 1107087694 9780511662249 0511662246 |
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| series2 | London Mathematical Society lecture note series ; |
| spelling | Erdelyi, Ivan, 1926- https://id.oclc.org/worldcat/entity/E39PCjx4C7jwbwYHDbY3GtjFXd http://id.loc.gov/authorities/names/n77015385 A local spectral theory for closed operators / Ivan Erdelyi, Wang Shengwang. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985. 1 online resource (178 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 105 Includes bibliographical references (pages 162-176) and index. Print version record. English. 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. http://id.loc.gov/authorities/subjects/sh85027140 Banach spaces. http://id.loc.gov/authorities/subjects/sh85011441 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Espaces de Banach. Spectre (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Banach spaces fast Closed operators fast Spectral theory (Mathematics) fast Lokale Spektraltheorie gnd http://d-nb.info/gnd/4168110-1 Abgeschlossener Operator gnd http://d-nb.info/gnd/4480714-4 Spektraltheorie gnd Abgeschlossener linearer Operator gnd http://d-nb.info/gnd/4141055-5 Banach-Raum gnd http://d-nb.info/gnd/4004402-6 Operatortheorie. gtt Banachruimten. gtt Spectraaltheorie. gtt Banach, Espaces de. ram Théorie spectrale (mathématiques) ram Wang, Shengwang, 1932- https://id.oclc.org/worldcat/entity/E39PCjyBrjbGyg8Jg38CVjHDMP http://id.loc.gov/authorities/names/n85119646 Print version: Erdelyi, Ivan, 1926- Local spectral theory for closed operators. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985 0521313147 (DLC) 85047812 (OCoLC)12053763 London Mathematical Society lecture note series ; 105. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569304 Volltext |
| spellingShingle | Erdelyi, Ivan, 1926- A local spectral theory for closed operators / London Mathematical Society lecture note series ; Closed operators. http://id.loc.gov/authorities/subjects/sh85027140 Banach spaces. http://id.loc.gov/authorities/subjects/sh85011441 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Espaces de Banach. Spectre (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Banach spaces fast Closed operators fast Spectral theory (Mathematics) fast Lokale Spektraltheorie gnd http://d-nb.info/gnd/4168110-1 Abgeschlossener Operator gnd http://d-nb.info/gnd/4480714-4 Spektraltheorie gnd Abgeschlossener linearer Operator gnd http://d-nb.info/gnd/4141055-5 Banach-Raum gnd http://d-nb.info/gnd/4004402-6 Operatortheorie. gtt Banachruimten. gtt Spectraaltheorie. gtt Banach, Espaces de. ram Théorie spectrale (mathématiques) ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85027140 http://id.loc.gov/authorities/subjects/sh85011441 http://id.loc.gov/authorities/subjects/sh85126408 http://d-nb.info/gnd/4168110-1 http://d-nb.info/gnd/4480714-4 http://d-nb.info/gnd/4141055-5 http://d-nb.info/gnd/4004402-6 |
| 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 | local spectral theory for closed operators |
| topic | Closed operators. http://id.loc.gov/authorities/subjects/sh85027140 Banach spaces. http://id.loc.gov/authorities/subjects/sh85011441 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Espaces de Banach. Spectre (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Banach spaces fast Closed operators fast Spectral theory (Mathematics) fast Lokale Spektraltheorie gnd http://d-nb.info/gnd/4168110-1 Abgeschlossener Operator gnd http://d-nb.info/gnd/4480714-4 Spektraltheorie gnd Abgeschlossener linearer Operator gnd http://d-nb.info/gnd/4141055-5 Banach-Raum gnd http://d-nb.info/gnd/4004402-6 Operatortheorie. gtt Banachruimten. gtt Spectraaltheorie. gtt Banach, Espaces de. ram Théorie spectrale (mathématiques) ram |
| topic_facet | Closed operators. Banach spaces. Spectral theory (Mathematics) Espaces de Banach. Spectre (Mathématiques) MATHEMATICS Functional Analysis. Banach spaces Closed operators Lokale Spektraltheorie Abgeschlossener Operator Spektraltheorie Abgeschlossener linearer Operator Banach-Raum Operatortheorie. Banachruimten. Spectraaltheorie. Banach, Espaces de. Théorie spectrale (mathématiques) |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569304 |
| work_keys_str_mv | AT erdelyiivan alocalspectraltheoryforclosedoperators AT wangshengwang alocalspectraltheoryforclosedoperators AT erdelyiivan localspectraltheoryforclosedoperators AT wangshengwang localspectraltheoryforclosedoperators |