International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 2, Pages 203-208
doi:10.1155/S016117127800023X

A note on strictly cyclic Shifts on p

Gerd H. Fricke

Department of Mathematics, Wright State University, Dayton 45431, Ohio, USA

Received 28 June 1977

Copyright © 1978 Gerd H. Fricke. 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.

Abstract

In this paper the author shows that a well known sufficient condition for strict cycliclty of a weighted shift on p is not a necessary condition for any p with 1<p<.