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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 3, Pages 85–89
DOI: https://doi.org/10.4213/faa2916
(Mi faa2916)
 

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
Full-text PDF (161 kB) Citations (3)
References:
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
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 3, Pages 234–238
DOI: https://doi.org/10.1007/s10688-008-0035-1
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v42/i3/p85
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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