Triplet extensions I: Semibounded operators in the scale of Hilbert spaces
(2009) In Journal d'Analyse Mathematique 107(1). p.251-286- Abstract
- The extension theory for semibounded symmetric operators is generalized by including operators acting in a triplet of Hilbert spaces. We concentrate our attention on the case where the minimal operator is essentially self-adjoint in the basic Hilbert space and construct a family of its self-adjoint extensions inside the triplet. All such extensions can be described by certain boundary conditions, and a natural counterpart of Krein's resolvent formula is obtained.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1400603
- author
- Kurasov, Pavel LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal d'Analyse Mathematique
- volume
- 107
- issue
- 1
- pages
- 251 - 286
- publisher
- Magnes Press
- external identifiers
-
- wos:000264843300011
- scopus:63849198394
- ISSN
- 1565-8538
- DOI
- 10.1007/s11854-009-0011-6
- language
- English
- LU publication?
- yes
- id
- a6c9276c-1c12-42fe-9b1f-74d7a25a9dc7 (old id 1400603)
- date added to LUP
- 2016-04-01 11:42:24
- date last changed
- 2022-04-05 03:41:19
@article{a6c9276c-1c12-42fe-9b1f-74d7a25a9dc7, abstract = {{The extension theory for semibounded symmetric operators is generalized by including operators acting in a triplet of Hilbert spaces. We concentrate our attention on the case where the minimal operator is essentially self-adjoint in the basic Hilbert space and construct a family of its self-adjoint extensions inside the triplet. All such extensions can be described by certain boundary conditions, and a natural counterpart of Krein's resolvent formula is obtained.}}, author = {{Kurasov, Pavel}}, issn = {{1565-8538}}, language = {{eng}}, number = {{1}}, pages = {{251--286}}, publisher = {{Magnes Press}}, series = {{Journal d'Analyse Mathematique}}, title = {{Triplet extensions I: Semibounded operators in the scale of Hilbert spaces}}, url = {{http://dx.doi.org/10.1007/s11854-009-0011-6}}, doi = {{10.1007/s11854-009-0011-6}}, volume = {{107}}, year = {{2009}}, }