Kreǐn spaces induced by symmetric operators
Date
2009
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Source Title
Journal of Operator Theory
Print ISSN
0379-4024
Electronic ISSN
1841-7744
Publisher
Academia Romana * Institutul de Matematica
Volume
61
Issue
2
Pages
347 - 367
Language
English
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Abstract
We introduce the notion of Kreǐn space induced by a densely defined symmetric operator in a Hilbert space, as an abstract notion of indefinite energy spaces. Characterizations of existence and uniqueness, as well as certain canonical representations, are obtained. We exemplify these by the free and certain perturbed Dirac operators.