IJPAM: Volume 95, No. 3 (2014)
BISHOP'S PROPERTY (β) FOR CERTAIN
GENERALIZED CLASSES OF OPERATORS
ON HILBERT SPACES
Department of Mathematics
College of Science
Al Jouf University
Al Jouf, 2014, KINGDOM OF SAUDI ARABIA
Abstract. An operator is called of class if for a positive integer , which is a common generalization of the quasi-normal and normal operators classes. Several properties of such class have been studied by the author in  and . In this paper it is proved that in order to find a nontrivial subspace for a -power quasi-normal operator it suffices to make the further assumption that where for , (i.e.,
Received: May 3, 2014
AMS Subject Classification: 47B20, 47B15
Key Words and Phrases: -power quasi-normal,-partial isometry-subscalar, single valued extension property (SVEP), Bishop's property, approximate spectrum, spectrum
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DOI: 10.12732/ijpam.v95i3.10 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: 427 - 452
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