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Triplet extensions I: Semibounded operators in the scale of Hilbert spaces

Kurasov, Pavel LU (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:
author
organization
publishing date
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
2009-06-12 10:48:47
date last changed
2017-09-10 03:33:09
@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},
  volume       = {107},
  year         = {2009},
}