IJPAM: Volume 101, No. 3 (2015)
Business Administration College
Al Ain University of Science and Technology
5-th st, Abu Dhabi, 112612, UAE
Abstract. We prove that the Supercylicity Criterion for any operator on a Hilbert space implies that satisfies rank one *-commutator operator property.
Received: January 3, 2015
AMS Subject Classification: 47A16, 47A62, 47B37, 47B47
Key Words and Phrases: supercyclic operator, rank one operator, commutator
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DOI: 10.12732/ijpam.v101i3.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 401 - 405