On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria

Author(s):

Mansooreh Moosapoor

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper,  we prove the existance of subspace-diskcyclic $C_{0}$-semigroups   on any infinite-dimensional   separable Banach space.  We state that diskcyclic $C_{0}$-semigroups are subspace-diskcyclic. Also, we establish some criteria for subspace-diskcyclic $C_{0}$-semigroups. Most of these criteria  are based on non-empty relatively open sets  and some of them are based on dense sets.

Keywords:

Subspace-diskcyclicity , Diskcyclicity , -semigroups

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
585 to 593
https://www.magiran.com/p2583810