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Krein's resolvent formula and perturbation theory

Kurasov, Pavel LU and Kuroda, S T (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:
author
and
organization
publishing date
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}},
}