On lifting of operators to Hilbert spaces induced by positive selfadjoint operators
Author
Cojuhari, P.
Gheondea, A.
Date
2005Source Title
Journal of Mathematical Analysis and Applications
Print ISSN
0022-247X
Electronic ISSN
1096-0813
Publisher
Academic Press
Volume
304
Issue
2
Pages
584 - 598
Language
English
Type
ArticleItem Usage Stats
118
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Abstract
We introduce the notion of induced Hilbert spaces for positive unbounded operators and show that the energy spaces associated to several classical boundary value problems for partial differential operators are relevant examples of this type. The main result is a generalization of the Krein-Reid lifting theorem to this unbounded case and we indicate how it provides estimates of the spectra of operators with respect to energy spaces. © 2004 Elsevier Inc. All rights reserved.