IJPAM: Volume 76, No. 2 (2012)

ON THE HYPERCYCLICITY FOR A TUPLE OF OPERATORS

B. Yousefi$^1$, Gh.R. Moghimi$^2$
$^{1,2}$Department of Mathematics
Payame Noor University
P.O. Box 19395-3697, Tehran, IRAN


Abstract. In this paper we characterize the equivalent conditions for a tuple of commutative bounded linear operators, satisfying the hypercyclicity criterion.

Received: November 19, 2011

AMS Subject Classification: 47B37, 47B33

Key Words and Phrases: tuple, hypercyclic vector, hypercylicity criterion, hereditarily hypercyclicity

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 2