IJPAM: Volume 88, No. 3 (2013)
Postcode 4166616711, Rasht, IRAN
Abstract. It is well known that if is a hypercyclic operator, then . We prove in this paper that this is not true for subspace-hypercyclic operators. We show that if is subspace-hypercyclic, then may be empty or not. Moreover we show that for every scalar with , there exists a subspace-hypercyclic operator such that and .
Received: July 10, 2013
AMS Subject Classification: 47A16, 47B37, 37B99
Key Words and Phrases: subspace-hypercyclic operators, point spectrum
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DOI: 10.12732/ijpam.v88i3.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395