On product of projections

Mohammad Sal Moslehian


Address.
  Department of Mathematics, Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, Iran

and

Institute for Studies in Theoretical Physics and Mathematics (IPM), Iran
 

E-mail. msalm@@math.um.ac.ir

Abstract.
An operator with infinite dimensional kernel is positive iff it is a positive scalar times a certain product of three projections.

AMSclassification. 47A05, 47A68.

Keywords.  Projection, positive operator, factorization.