Krein's resolvent formula and perturbation theory
(2004) In Journal of Operator Theory 51(2). p.321334 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:
http://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
 ISSN
 03794024
 language
 English
 LU publication?
 yes
 id
 c33f19ac354f4028988f93a2fd7c210f (old id 270752)
 alternative location
 http://www.theta.ro/jot.html
 date added to LUP
 20071023 19:55:37
 date last changed
 20181121 20:42:04
@article{c33f19ac354f4028988f93a2fd7c210f, 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 = {03794024}, keyword = {perturbation theory,Krein's formula,resolvent analysis}, language = {eng}, number = {2}, pages = {321334}, publisher = {Theta Foundation}, series = {Journal of Operator Theory}, title = {Krein's resolvent formula and perturbation theory}, volume = {51}, year = {2004}, }