@article {
author = {Asadipour, Meysam},
title = {Local subspace transitivity criterion},
journal = {Khayyam Journal of Mathematics},
volume = {8},
number = {1},
pages = {33-41},
year = {2022},
publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2021.257086.2061},
abstract = {An operator $T$ on Banach space $X$ is called transitive,if for every nonempty open subsets $U$,$V$ of $X$, there is a positive integer $n$, such that $T^n (U) \cap V \neq\phi$. In the present paper, local subspace transitivite operators are introduced.We also provide nontrivial example and establish some basic properties of such operators.Moreover the local subspace transitivity criterion is stated. Also, we show an operator maysatisfies in the local subspace transitivity criterion without being topological transitive.},
keywords = {Hypercyclic operators,topologically transitive operators,subspace hypercyclicity,$J$-class operators},
url = {http://www.kjm-math.org/article_144157.html},
eprint = {http://www.kjm-math.org/article_144157_0e1a07413ebf9a0676b3222933749466.pdf}
}