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International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 3, Pages 607-610

On the shift operators

Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

Received 3 May 1994; Revised 1 March 1995

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this paper is to show that the weighted s-shift operators and so the weighted shift and the right shift operators have the SVEP, but the left shift operator has not. Also, if T,SB(X) are quasi-similar operators then, it is shown that T has the SVEP iff S has the SVEP. Finally, the paper shows that the right and left shift operators are not decomposable