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

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

2008-08-12

arxiv.org/abs/0808.1731v2

Mathematics

Functional Analysis

24 pages, Sect. 3 extended

Scientific paper

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.

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