Topologically Mixing and Hypercyclicity of Tuples
Received:November 01, 2011  Revised:February 20, 2012
Key Words: tuple   hypercyclic vector   topologically mixing   thick set   hypercylicity criterion   hereditarily hypercyclic   syndetic sequence.  
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Author NameAffiliation
Bahmann YOUSEFI Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IRAN 
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Abstract:
      In this paper, we characterize conditions under which a tuple of bounded linear operators is topologically mixing. Also, we give conditions for a tuple to be hereditarily hypercyclic with respect to a tuple of syndetic sequences.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.05.004
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