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This article is cited in 3 scientific papers (total in 3 papers)
Brief communications
Perturbations of Strongly Continuous Operator Semigroups, and Matrix Muckenhoupt Weights
G. M. Gubreeva, Yu. D. Latushkinb a Poltava National Technical University named after Yuri Kondratyuk
b University of Missouri-Columbia
Abstract:
Let $A$ and $A_0$ be linear continuously invertible operators on a Hilbert space $\mathfrak{H}$ such that $A^{-1}-A_0^{-1}$ has finite rank. Assuming that $\sigma(A_0)=\varnothing$ and that the operator semigroup $V_+(t)=\exp\{iA_0t\}$, $t\ge0$, is of class $C_0$, we state criteria under which the semigroups $U_\pm(t)=\exp\{\pm iAt\}$, $t\ge0$, are of class $C_0$ as well. The analysis in the paper is based on functional models for nonself-adjoint operators and techniques of matrix Muckenhoupt weights.
Keywords:
nonself-adjoint operator, perturbation of a semigroup, functional model, Muckenhoupt condition.
Received: 09.03.2007
Citation:
G. M. Gubreev, Yu. D. Latushkin, “Perturbations of Strongly Continuous Operator Semigroups, and Matrix Muckenhoupt Weights”, Funktsional. Anal. i Prilozhen., 42:3 (2008), 85–89; Funct. Anal. Appl., 42:3 (2008), 234–238
Linking options:
https://www.mathnet.ru/eng/faa2916https://doi.org/10.4213/faa2916 https://www.mathnet.ru/eng/faa/v42/i3/p85
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Abstract page: | 453 | Full-text PDF : | 222 | References: | 66 | First page: | 8 |
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