Saved in:
| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
|
| Series: | London Mathematical Society lecture note series
404 |
| Subjects: | |
| Links: | https://doi.org/10.1017/CBO9781139135061 https://doi.org/10.1017/CBO9781139135061 https://doi.org/10.1017/CBO9781139135061 |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xii, 298 pages) |
| ISBN: | 9781139135061 |
| DOI: | 10.1017/CBO9781139135061 |
Staff View
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| 505 | 8 | |a 1. John Williams Calkin: a short biography / S. Hassi, H.S.V. de Snoo and F.H. Szafraniec -- 2. On Calkin's abstract symmetric boundary conditions / S. Hassi and H.L. Wietsma -- 3. Boundary triplets and maximal accretive extensions of sectorial operators / Y. Arlinskiĭ -- 4. Boundary control state/signal systems and boundary triplets / D.Z. Arov, M. Kurula and O.J. Staffans -- 5. Passive state/signal systems and conservative boundary relations / D.Z. Arov, M. Kurula and O.J. Staffans -- 6. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples / J. Behrndt and M. Langer -- 7. Boundary triplets and Weyl functions. Recent developments / V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo -- 8. Extension theory for elliptic partial differential operators with pseudodifferential methods / G. Grubb -- 9. Dirac structures and boundary relations / S. Hassi, A.J. van der Schaft, H.S.V. de Snoo and H.J. Zwart -- 10. Naĭmark dilations and Naĭmark extensions in favour of moment problems / F.H. Szafraniec | |
| 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 | ||
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Record in the Search Index
| _version_ | 1818982567942029312 |
|---|---|
| any_adam_object | |
| author2 | Hassi, Seppo Snoo, Hendrik Simon Victor de 1945- Szafraniec, Franciszek Hugon |
| author2_role | edt edt edt |
| author2_variant | s h sh h s v d s hsvd hsvds f h s fh fhs |
| author_facet | Hassi, Seppo Snoo, Hendrik Simon Victor de 1945- Szafraniec, Franciszek Hugon |
| building | Verbundindex |
| bvnumber | BV043941510 |
| classification_rvk | SI 320 SK 620 |
| collection | ZDB-20-CBO |
| contents | 1. John Williams Calkin: a short biography / S. Hassi, H.S.V. de Snoo and F.H. Szafraniec -- 2. On Calkin's abstract symmetric boundary conditions / S. Hassi and H.L. Wietsma -- 3. Boundary triplets and maximal accretive extensions of sectorial operators / Y. Arlinskiĭ -- 4. Boundary control state/signal systems and boundary triplets / D.Z. Arov, M. Kurula and O.J. Staffans -- 5. Passive state/signal systems and conservative boundary relations / D.Z. Arov, M. Kurula and O.J. Staffans -- 6. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples / J. Behrndt and M. Langer -- 7. Boundary triplets and Weyl functions. Recent developments / V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo -- 8. Extension theory for elliptic partial differential operators with pseudodifferential methods / G. Grubb -- 9. Dirac structures and boundary relations / S. Hassi, A.J. van der Schaft, H.S.V. de Snoo and H.J. Zwart -- 10. Naĭmark dilations and Naĭmark extensions in favour of moment problems / F.H. Szafraniec |
| ctrlnum | (ZDB-20-CBO)CR9781139135061 (OCoLC)847031517 (DE-599)BVBBV043941510 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139135061 |
| format | Electronic eBook |
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| id | DE-604.BV043941510 |
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| indexdate | 2024-12-20T17:49:16Z |
| institution | BVB |
| isbn | 9781139135061 |
| language | English |
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| publishDate | 2012 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| 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 resource (xii, 298 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 404 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. John Williams Calkin: a short biography / S. Hassi, H.S.V. de Snoo and F.H. Szafraniec -- 2. On Calkin's abstract symmetric boundary conditions / S. Hassi and H.L. Wietsma -- 3. Boundary triplets and maximal accretive extensions of sectorial operators / Y. Arlinskiĭ -- 4. Boundary control state/signal systems and boundary triplets / D.Z. Arov, M. Kurula and O.J. Staffans -- 5. Passive state/signal systems and conservative boundary relations / D.Z. Arov, M. Kurula and O.J. Staffans -- 6. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples / J. Behrndt and M. Langer -- 7. Boundary triplets and Weyl functions. Recent developments / V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo -- 8. Extension theory for elliptic partial differential operators with pseudodifferential methods / G. Grubb -- 9. Dirac structures and boundary relations / S. Hassi, A.J. van der Schaft, H.S.V. de Snoo and H.J. Zwart -- 10. Naĭmark dilations and Naĭmark extensions in favour of moment problems / F.H. Szafraniec 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 Boundary value problems Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Randwertproblem (DE-588)4048395-2 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Hassi, Seppo edt Snoo, Hendrik Simon Victor de 1945- edt Szafraniec, Franciszek Hugon edt Erscheint auch als Druckausgabe 978-1-107-60611-1 https://doi.org/10.1017/CBO9781139135061 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Operator methods for boundary value problems 1. John Williams Calkin: a short biography / S. Hassi, H.S.V. de Snoo and F.H. Szafraniec -- 2. On Calkin's abstract symmetric boundary conditions / S. Hassi and H.L. Wietsma -- 3. Boundary triplets and maximal accretive extensions of sectorial operators / Y. Arlinskiĭ -- 4. Boundary control state/signal systems and boundary triplets / D.Z. Arov, M. Kurula and O.J. Staffans -- 5. Passive state/signal systems and conservative boundary relations / D.Z. Arov, M. Kurula and O.J. Staffans -- 6. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples / J. Behrndt and M. Langer -- 7. Boundary triplets and Weyl functions. Recent developments / V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo -- 8. Extension theory for elliptic partial differential operators with pseudodifferential methods / G. Grubb -- 9. Dirac structures and boundary relations / S. Hassi, A.J. van der Schaft, H.S.V. de Snoo and H.J. Zwart -- 10. Naĭmark dilations and Naĭmark extensions in favour of moment problems / F.H. Szafraniec Boundary value problems Randwertproblem (DE-588)4048395-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4044779-0 (DE-588)4075665-8 |
| 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 |
| topic | Boundary value problems Randwertproblem (DE-588)4048395-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Boundary value problems Randwertproblem Partielle Differentialgleichung Operatortheorie |
| url | https://doi.org/10.1017/CBO9781139135061 |
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