Universality of affine semi-groups on supercyclicity of the sequence operators

Mortada S. Ali, A.H. Abadalla, Alshaikh A.A. Shokeralla

Abstract


In this paper, show that for all supercyclic strongly continuous sequence of operators semi-group on a complex ℱ𝑗-space, every 𝑇(1+𝜀)𝑗 with 𝜀>−1 is supercyclic. Also, the sets of all supercyclic vectors 𝑇(1+𝜀)𝑗 with 𝜀>−1 are precisely the sets of supercyclic vectors of the entire semi-group.

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Published: 2020-04-21

How to Cite this Article:

Mortada S. Ali, A.H. Abadalla, Alshaikh A.A. Shokeralla, Universality of affine semi-groups on supercyclicity of the sequence operators, J. Semigroup Theory Appl., 2020 (2020), Article ID 5

Copyright © 2020 Mortada S. Ali, A.H. Abadalla, Alshaikh A.A. Shokeralla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

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