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- W69804569 abstract "Let G be a bounded and invertible selfadjoint operator on a Hilbert space ℋ and consider linear operators U on ℋ satisfying U*GU = G. Then U is said to be G-unitary and, if there is a trigonometric polynomial q such that G q(U) ≫ 0 then U is said to be uniformly definitizable. Such operators are characterized by properties of their spectrum. Results are also established concerning the spectrum of U when (U, G) is obtained by perturbation of a uniformly definitizable pair (U 0 , G 0 ); the perturbations may be small, finite rank, or compact. Similar results are obtained for certain operator polynomials whose spectrum is symmetric with respect to the unit circle." @default.
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- W69804569 date "1996-01-01" @default.
- W69804569 modified "2023-10-17" @default.
- W69804569 title "Definitizable G-Unitary Operators and their Applications to Operator Polynomials" @default.
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- W69804569 doi "https://doi.org/10.1007/978-3-0348-9035-9_11" @default.
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