Operator methods for boundary value problems
Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense,...
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| Format: | E-Book |
| Sprache: | English |
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Cambridge University Press
2012
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| Schriftenreihe: | London Mathematical Society lecture note series
404 |
| Online-Zugang: | Volltext |
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| 245 | 0 | 0 | |a Operator methods for boundary value problems |c edited by Seppo Hassi, Hendrik S.V. de Snoo and Franciszek Hugon Szafraniec |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2012 | |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 404 | |
| 520 | |a Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals. | ||
| 700 | 1 | |a Hassi, Seppo | |
| 700 | 1 | |a Snoo, Hendrik Simon Victor de |d 1945- | |
| 700 | 1 | |a Szafraniec, Franciszek Hugon | |
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| spelling | Operator methods for boundary value problems edited by Seppo Hassi, Hendrik S.V. de Snoo and Franciszek Hugon Szafraniec Cambridge Cambridge University Press 2012 1 Online-Ressource (xii, 298 Seiten) txt c cr London Mathematical Society lecture note series 404 Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals. Hassi, Seppo Snoo, Hendrik Simon Victor de 1945- Szafraniec, Franciszek Hugon Erscheint auch als Druck-Ausgabe 9781107606111 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9781139135061 Volltext |
| spellingShingle | Operator methods for boundary value problems |
| title | Operator methods for boundary value problems |
| title_auth | Operator methods for boundary value problems |
| title_exact_search | Operator methods for boundary value problems |
| title_full | Operator methods for boundary value problems edited by Seppo Hassi, Hendrik S.V. de Snoo and Franciszek Hugon Szafraniec |
| title_fullStr | Operator methods for boundary value problems edited by Seppo Hassi, Hendrik S.V. de Snoo and Franciszek Hugon Szafraniec |
| title_full_unstemmed | Operator methods for boundary value problems edited by Seppo Hassi, Hendrik S.V. de Snoo and Franciszek Hugon Szafraniec |
| title_short | Operator methods for boundary value problems |
| title_sort | operator methods for boundary value problems |
| url | https://doi.org/10.1017/CBO9781139135061 |
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