Perturbations of strongly continuous operator semigroups, and matrix Muckenhoupt weights

被引：0

作者：

G. M. Gubreev

Yu. D. Latushkin

机构：

[1] Poltava National Technical University,Department of Mathematics

[2] University of Missouri,undefined

来源：

Functional Analysis and Its Applications | 2008年 / 42卷

关键词：

nonself-adjoint operator; perturbation of a semigroup; functional model; Muckenhoupt condition;

D O I：

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学科分类号：

摘要：

Let A and A0 be linear continuously invertible operators on a Hilbert space ℌ such that A−1 − A0−1 has finite rank. Assuming that σ(A0) = ∅ and that the operator semigroup V+(t) = exp{iA0t}, t ≥ 0, is of class C0, we state criteria under which the semigroups U±(t) = exp{±iAt}, t ≥ 0, are of class C0 as well. The analysis in the paper is based on functional models for nonself-adjoint operators and techniques of matrix Muckenhoupt weights.

引用

页码：234 / 238

页数：4