M-hypercyclicity of C0-semigroup and Svep of its generator

IF 0.3 Q4 MATHEMATICS
A. Toukmati
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引用次数: 0

Abstract

Abstract Let 𝒯 = (Tt)t≥0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup. Specifically, we prove that if A does not have the single valued extension property at λ ∈ iℝ, then there exists a closed subspace M of X, such that the C0-semigroup 𝒯 is M-hypercyclic. As a corollary, we get certain conditions of the generator A, for the C0-semigroup to be M-hypercyclic.
c0 -半群的m -超旋性及其发生器的Svep
摘要:设∞维Banach空间X上具有生成子a的c0 -半群(t = (Tt)t≥0)。本文研究了生成子a的单值可拓性与c0 -半群的m -超环性之间的关系。具体地,我们证明了如果A在λ∈i∈上不具有单值可拓性,则存在X的闭子空间M,使得c0 -半群∈是M-超循环的。作为推论,我们得到了c -半群为m -超环的生成子a的若干条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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