IJPAM: Volume 93, No. 1 (2014)
OPERATORS IN SEMI-HILBERTIAN SPACES
Department of Mathematics
College of Science
P.O. Box 6640 Buraydah 51452, SAUDI ARABIA
Abstract. In this paper, the concept of -power quasi-normal operators on a Hilbert space defined by Sid Ahmed in is generalized when an additional semi-inner product is considered. This new concept is described by means of oblique projections. For a Hilbert space operator is -power quasi-normal operators for some positive operator and for some positive integer if ,
Received: November 4, 2013
AMS Subject Classification: 47B20, 47B99
Key Words and Phrases: operator, quasi-normal, -normal, reducing subspace, Hilbert space
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DOI: 10.12732/ijpam.v93i1.6 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: 61 - 83
This work is licensed under the Creative Commons Attribution International License (CC BY).