Cargando…
Stable Perturbations of Operators and Related Topics : Essays in Honour of Jia-an Yan.
This book provides a broad introduction to the generalized inverses, Moore-Penrose inverses, Drazin inverses and T-S outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional. This subject has many applications in operator theory, operator algebras, global anal...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
2012.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn794328409 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 120528s2012 si o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCQ |d YDXCP |d DEBSZ |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCF |d OCLCQ |d ZCU |d MERUC |d OCLCQ |d ICG |d OCLCQ |d DKC |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 020 | |a 9789814383608 | ||
| 020 | |a 9814383600 | ||
| 029 | 1 | |a AU@ |b 000052904361 | |
| 029 | 1 | |a DEBBG |b BV044165394 | |
| 029 | 1 | |a DEBSZ |b 379327856 | |
| 029 | 1 | |a DEBSZ |b 454997531 | |
| 035 | |a (OCoLC)794328409 | ||
| 050 | 4 | |a QA274.23 | |
| 082 | 0 | 4 | |a 519.22 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Zhang, Tusheng. | |
| 245 | 1 | 0 | |a Stable Perturbations of Operators and Related Topics : |b Essays in Honour of Jia-an Yan. |
| 260 | |a Singapore : |b World Scientific, |c 2012. | ||
| 300 | |a 1 online resource (305 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Preface; Contents; 1. Basics in Functional Analysis; 1.1 Banach spaces and Hilbert spaces; 1.2 Reduced minimum moduli of densely-defined operators; 1.3 The gap function of subspaces; 1.4 Banach algebras; 1.5 C*-algebras; 1.6 Notes; 2. Stable Perturbation of Densely-Defined Closed Operators; 2.1 Generalized inverses of linear operators on Banach spaces; 2.2 Stable perturbation of operators; 2.3 Perturbation analysis of the operator equation Ax = b; 2.4 Generalized inverses in Banach algebras; 2.5 Some applications of stable perturbations; 2.6 Notes. | |
| 505 | 8 | |a 3. Moore-Penrose Inverse And Its Stable Perturbation3.1 The Moore-Penrose inverse; 3.2 The reverse order law of the Moore-Penrose inverses; 3.3 Stable perturbation of closed operators in Hilbert spaces; 3.4 The representations of certain Moore-Penrose inverses; 3.5 Moore-Penrose inverses in C*-algebras; 3.6 Notes; 4. Drazin Inverses, T -S Generalized Inverses And Their Perturbations; 4.1 Drazin inverses on Banach spaces; 4.2 The outer generalized inverse with prescribed range and kernel; 4.3 The stable perturbation of Drazin inverses. | |
| 505 | 8 | |a 4.4 The perturbation analysis of the outer generalized inverse with prescribed range and kernel4.5 Drazin inverses and generalized Drazin inverses in Banach algebras; 4.6 Stable perturbation of Drazin inverses; 4.7 Representations for the Drazin inverses of sums, products and block matrices; 4.8 Notes; 5. Miscellaneous Applications; 5.1 The Generalized Bott-Duffin inverse of an operator on a Hilbert Space; 5.2 Some applications of Moore-Penrose inverses in frame theory; 5.3 Generalized Cowen-Douglas mappings; 5.4 Condition numbers related to Moore-Penrose inverses and Drazin inverses. | |
| 505 | 8 | |a 5.5 The local conjugacy of a C1-mapping6. Some Related Topics; 6.1 Perturbation of reduced minimum modulus; 6.2 Perturbation analysis for the consistent operator equation on Banach spaces; 6.3 Fredholm elements relative to a homomorphism and their indices; 6.4 Lifting a Moore-Penrose inverse from quotient C*-algebras; 6.5 Approximate polar decomposition in C*-algebras; 6.6 The reduced minimum modulus relative to a quotient C*- algebra; 6.7 Notes; Appendix A Some Results From Topology And Analysis; A.1 Some topological results; A.2 Holomorphic vector-valued functions. | |
| 505 | 8 | |a A.3 Inverse Function TheoremAppendix B More On C*-Algebras; B.1 Some basic results in C*-algebras; B.2 Lifting problems about projections; B.3 K-theory for C*-algebras; Bibliography; Index. | |
| 520 | |a This book provides a broad introduction to the generalized inverses, Moore-Penrose inverses, Drazin inverses and T-S outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional. This subject has many applications in operator theory, operator algebras, global analysis and approximation theory and so on. Stable Perturbations of Operators and Related Topics is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students. It is also suitable for researchers as a reference. The proofs of statements and explanations in t. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Stochastic analysis. | |
| 650 | 0 | |a Stochastic differential equations. | |
| 650 | 0 | |a White noise theory. | |
| 650 | 6 | |a Analyse stochastique. | |
| 650 | 6 | |a Équations différentielles stochastiques. | |
| 650 | 6 | |a Théorie du bruit blanc. | |
| 650 | 7 | |a Stochastic analysis |2 fast | |
| 650 | 7 | |a Stochastic differential equations |2 fast | |
| 650 | 7 | |a White noise theory |2 fast | |
| 700 | 1 | |a Zhou, Xunyu. | |
| 776 | 0 | 8 | |i Print version: |a Zhang, Tusheng. |t Stable Perturbations of Operators and Related Topics : Essays in Honour of Jia-an Yan. |d Singapore : World Scientific, ©2012 |z 9789814383592 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=919116 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL919116 | ||
| 938 | |a YBP Library Services |b YANK |n 7583590 | ||
| 994 | |a 92 |b IZTAP | ||