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arxiv: 0808.1731 · v2 · submitted 2008-08-12 · 🧮 math.FA · math.SP

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

classification 🧮 math.FA math.SP
keywords operatorsapplicationscloseddecompositionsformgeneralizedhilbertpolar
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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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