Title : ( HYPERCYCLIC TUPLE C0-SEMIGROUPS OF OPERATORS )
Authors: Mohammad Janfada , ABOLFAZL NEZHADALI BAGHAN ,
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Abstract
In this paper, we introduce the notions of hypercyclic and locally topologically hypercyclic multi-parameter C0-semigroups of operators on separable Banach spaces. Then we show that every finite dimensional Banach space admits a hypercyclic multiparameter C0-semigroup. Next, the hypercyclicity of tensor product of one-parameter C0-semigroups as a multi-parameter C0-semigroup will be discussed. Finally, locally topologically transitive two-parameter C0-semigroups are studied.
Keywords
, Hypercyclic C0, semigroups; tuple C0, semigroup; tensor product; locally topologically transitive C0, semigroups.
@article{paperid:1077009,
author = {Janfada, Mohammad and NEZHADALI BAGHAN, ABOLFAZL},
title = {HYPERCYCLIC TUPLE C0-SEMIGROUPS OF OPERATORS},
journal = {UPB Scientific Bulletin, Series A},
year = {2019},
volume = {81},
number = {1},
month = {February},
issn = {1223-7027},
pages = {103--110},
numpages = {7},
keywords = {Hypercyclic C0-semigroups; tuple C0-semigroup; tensor product; locally
topologically transitive C0-semigroups.},
}
%0 Journal Article
%T HYPERCYCLIC TUPLE C0-SEMIGROUPS OF OPERATORS
%A Janfada, Mohammad
%A NEZHADALI BAGHAN, ABOLFAZL
%J UPB Scientific Bulletin, Series A
%@ 1223-7027
%D 2019
