IJPAM: Volume 94, No. 5 (2014)

TUPLE OF OPERATORS AND EPSILON SUPERCYCLICITY

Bahmann Yousefi$^1$, Javad Izadi$^2$
$^{1,2}$Department of Mathematics
Payame Noor University
P.O. Box 19395-3697, Tehran, IRAN


Abstract. In this paper we prove that if a tuple of operators is $\epsilon$-supercyclic for all $\epsilon >0$, then it is supercyclic.

Received: June 14, 2014

AMS Subject Classification: 47B37, 47B33

Key Words and Phrases: supercyclic vector, $\epsilon$-supercyclicity

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DOI: 10.12732/ijpam.v94i5.11 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: 2014
Volume: 94
Issue: 5
Pages: 731 - 735


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