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Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications |
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| Authors: | Fritz Gesztesy Mark Malamud Marius Mitrea Serguei Naboko |
| Institution: | (1) Department of Mathematics, University of Missouri, Columbia, MO 65211, USA;(2) Mathematics, Institute of Applied Mathematics and Mechanics, R. Luxemburg str. 74, Donetsk, 83114, Ukraine;(3) Department of Mathematical Physics, Institute of Physics, St. Petersburg State University, 1 Ulia- novskaia, St. Petergoff, St. Petersburg, 198504, Russia;(4) Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294-1170, USA |
| Abstract: | 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. Based upon work partially supported by the US National Science Foundation under Grant Nos. DMS-0400639 and FRG-0456306, and the Austrian Science Fund (FWF) under Grant No. Y330. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary: 47A05 47A07 Secondary: 47A55 |
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