IJPAM: Volume 87, No. 3 (2013)
Payame Noor University
P.O. Box 19395-4697, Tehran, IRAN
Abstract. In this paper we introduce subspace-mixing and certain set , , which we call it -limit set of under and construct an example of a subspace-mixing operator. In the sequel, considering , the answer of this question:'' does there exist an operator such that and are -mixing and -mixing, respectively?'' is negative.
Received: April 26, 2013
AMS Subject Classification: 47A16, 47B99
Key Words and Phrases: subspace-hypercyclicity, subspace-transitivity, subspace-mixing, subspace-limit set
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DOI: 10.12732/ijpam.v87i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395