Abstract. In this paper we show that if T is subspace-hypercyclic or subspace-transitive with respect to a subspace M, then Tⁿ has a dense set of irregular vectors in M for every n ∈ N. Also, we prove that if T is hyponormal or subnormal or normal or compact, for every n ∈ N, Tⁿ can not be subspace-hypercyclic and subspace-chaotic.

Received: October 23, 2012

AMS Subject Classification: 47A16, 47B37, 37B99

Key Words and Phrases: irregular vectors, subspace-hypercyclic operators, subspace-transitive operators, subspace-chaotic operators

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DOI: 10.12732/ijpam.v86i1.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 1

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