Volume 10, Issue 1 (4-2024)
mmr 2024, 10(1): 119-130 |
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Moosapoor M, Shahriari M. Subspace-recurrent C0-semigroups and their properties. mmr 2024; 10 (1) :119-130
URL: http://mmr.khu.ac.ir/article-1-3239-en.html
URL: http://mmr.khu.ac.ir/article-1-3239-en.html
1- Farhangian University , m.mosapour@cfu.ac.ir
2- University of Maragheh
2- University of Maragheh
Abstract: (288 Views)
In this paper, we prove that these C0-semigroups exist on every infinite-dimensional Banach space. It is shown that C0-semigroups can be constructed on finite-dimensional Banach spaces and with respect to finite-dimensional subspaces. We define subspace-recurrent vectors for C0-semigroups and state that any C0-semigroup that has a dense set of subspace-recurrent vectors is subspace-recurrent. Moreover, we prove that any recurrent C0-semigroup is subspace-recurrent. Also, some sufficient conditions for subspace-recurrency are proved that are based on dense sets and open sets.
Type of Study: Original Manuscript |
Subject:
Operator theorey
Received: 2021/10/27 | Revised: 2024/07/10 | Accepted: 2023/06/10 | Published: 2024/04/27 | ePublished: 2024/04/27
Received: 2021/10/27 | Revised: 2024/07/10 | Accepted: 2023/06/10 | Published: 2024/04/27 | ePublished: 2024/04/27
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