Kreǐn spaces induced by symmetric operators

Date

2009

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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.

Source Title

Journal of Operator Theory

Publisher

Academia Romana * Institutul de Matematica

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Citation

Published Version (Please cite this version)

Language

English