On A-Commuting Operators
Abstract
Two bounded linear operators A and B on a complex Hilbert space are said to ,1.-
commute for ,lEe provided that: AB = ABA. In this paper we look for some properties
satisfied by the operators A and B so that ,1.= 1. It is shown among other results that if one of
the operators raised to some power is normal and 0 does not belong to the interior of the
numerical range of the other operator then: A = 1
AMS 200 Mathematics Subject Classification 47B47 47 A30, 47B20
Citation
Kenya Journal of Sciences Series A Vol. 15 No.1, 2012Publisher
School of Mathematics, University of Nairobi,