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,...
| Other Authors: | , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
|
| Series: | London Mathematical Society lecture note series
|
| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of 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