Some Notes on Subspace Convex-cyclicity

Author(s):

Meysam Asadipour*

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

A bounded linear operator T on Banach space X is subspace convex-cyclic for a subspace M if there exists a vector x ∈ X such that Co(orb(T, x)) ∩ M is dense in M. We construct examples of subspace convex-cyclic operator that is not convex-cyclic. In particular, we prove that every convex-cyclic operator on the separable Banach space X is a subspace convex-cyclic operator for some pure subspace M of X.

Keywords:

Hypercyclicity , Convex hull , Subspace convexcyclic operators

Language:
English
Published:
Journal of Mathematical Extension, Volume:16 Issue: 5, May 2022
Page:
6
https://www.magiran.com/p2372594