On Supercyclicity of Tuples of Operators

作者:Soltani R; Hedayatian K; Robati B Khani*
来源:Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38(4): 1507-1516.
DOI:10.1007/s40840-014-0083-z

摘要

In this paper, we use a result of N. S. Feldman to show that there are no supercyclic subnormal tuples in infinite dimensions. Also, we investigate some spectral properties of hypercyclic tuples of operators. Besides, we prove that if is a supercyclic l-tuple of commuting n x n complex matrices, then l >= n and also there exists a supercyclic n-tuple of commuting diagonal n x n matrices. Furthermore, we see that if T = (T-1,...., T-n) is a supercyclic n-tuple of commuting n x n complex matrices, then T-j's are simultaneously diagonalizable.

  • 出版日期2015-10

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