Topologically Mixing and Hypercyclicity of Tuples

中文关键词:  tuple  hypercyclic vector  topologically mixing  thick set  hypercylicity criterion  hereditarily hypercyclic  syndetic sequence.

英文关键词:tuple  hypercyclic vector  topologically mixing  thick set  hypercylicity criterion  hereditarily hypercyclic  syndetic sequence.

中文摘要:

      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.

英文摘要:

      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.