Hilbert-Schmidt算子空间上的递归性

IF 1.2 Q3 MULTIDISCIPLINARY SCIENCES

Baghdad Science Journal Pub Date : 2023-10-20 DOI:10.21123/bsj.2023.8870

Mansooreh Moosapoor

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引用次数: 0

摘要

本文证明了如果一个c0 -半群是混沌、超混合或超混合的，则Hilbert-Schmidt算子空间上相应的左乘法c0 -半群是循环的当且仅当它是超循环的。并指出在某些条件下，c0 -半群的递归性与与之相关的左乘法c0 -半群在Hilbert-Schmidt算子空间上的递归性是等价的。此外，给出了基于密集子集的左乘法c0 -半群的递归性和超环性的充分条件

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Recurrency on the Space of Hilbert-Schmidt Operators

In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that under some conditions recurrence of a C0-semigroup and the recurrency of the left multiplication C0-semigroup that is related to it, on the space of Hilbert-Schmidt operators are equivalent. Moreover, some sufficient conditions for recurrency and hypercyclicity of the left multiplication C0-semigroup are presented that are based on dense subsets

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来源期刊

Baghdad Science Journal MULTIDISCIPLINARY SCIENCES-

CiteScore

2.00

自引率

50.00%

发文量

102

审稿时长

24 weeks

期刊介绍： The journal publishes academic and applied papers dealing with recent topics and scientific concepts. Papers considered for publication in biology, chemistry, computer sciences, physics, and mathematics. Accepted papers will be freely downloaded by professors, researchers, instructors, students, and interested workers. ( Open Access) Published Papers are registered and indexed in the universal libraries.