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arXiv:0808.1731 [math.FA]AbstractReferencesReviewsResources

Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications

Fritz Gesztesy, Mark Malamud, Marius Mitrea, Serguei Naboko

Published 2008-08-12, updated 2008-11-11Version 2

We study generalized polar decompositions of densely defined, closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (form) compact perturbations of self-adjoint, normal, and m-sectorial operators.

Comments: 24 pages, Sect. 3 extended
Categories: math.FA, math.SP
Subjects: 47A05, 47A07, 47A55
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