A New Identity for Resolvents of Operators

Michael Gil'

International Journal of Analysis, 2013, vol. 2013, 1-4

Abstract:

A new identity for resolvents of operators is suggested. We show that in appropriate situations it is more convenient than the Hilbert identity. In particular, we establish a new invertibility condition for perturbed operators as well as new bounds for the spectrum of perturbed operators. As a particular case we consider perturbations of Hilbert-Schmidt operators.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:243891

DOI: 10.1155/2013/243891

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