Krein's resolvent formula and perturbation theory
(2004) In Journal of Operator Theory 51(2). p.321-334- Abstract
- The difference between the resolvents of two selfadjoint extensions of a certain symmetric operator A is described by Krein's resolvent formula. We will prove an analog of Krein's formula in a general framework, apply it to extensions theory, and give a straightforward proof of Krein's formula including the case that A is not necessarily densely defined. We will also present a modification of Krein's formula adjusted to perturbation theory and prove the corresponding resolvent estimate.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/270752
- author
- Kurasov, Pavel LU and Kuroda, S T
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- perturbation theory, Krein's formula, resolvent analysis
- in
- Journal of Operator Theory
- volume
- 51
- issue
- 2
- pages
- 321 - 334
- publisher
- Theta Foundation
- external identifiers
-
- wos:000223145000006
- scopus:4344653930
- ISSN
- 0379-4024
- language
- English
- LU publication?
- yes
- id
- c33f19ac-354f-4028-988f-93a2fd7c210f (old id 270752)
- alternative location
- http://www.theta.ro/jot.html
- date added to LUP
- 2016-04-01 16:31:17
- date last changed
- 2022-01-28 20:17:44
@article{c33f19ac-354f-4028-988f-93a2fd7c210f, abstract = {{The difference between the resolvents of two selfadjoint extensions of a certain symmetric operator A is described by Krein's resolvent formula. We will prove an analog of Krein's formula in a general framework, apply it to extensions theory, and give a straightforward proof of Krein's formula including the case that A is not necessarily densely defined. We will also present a modification of Krein's formula adjusted to perturbation theory and prove the corresponding resolvent estimate.}}, author = {{Kurasov, Pavel and Kuroda, S T}}, issn = {{0379-4024}}, keywords = {{perturbation theory; Krein's formula; resolvent analysis}}, language = {{eng}}, number = {{2}}, pages = {{321--334}}, publisher = {{Theta Foundation}}, series = {{Journal of Operator Theory}}, title = {{Krein's resolvent formula and perturbation theory}}, url = {{http://www.theta.ro/jot.html}}, volume = {{51}}, year = {{2004}}, }