Continuous complementors on B^∗-algebras

Pak-Ken Wong

Vol. 33 (1970), No. 1, 255–260

DOI: 10.2140/pjm.1970.33.255

Abstract

This paper is concerned with continuous and uniformly continuous complementors on a B^∗-algebra. Let A be a B^∗-algebra with a complementor p and E_p the set of all p-projections of A. We show that if A has no minimal left ideals of dimension less than three, then p is uniformly continuous if and only if E_p is a closed and bounded subset of A. We also give a characterization of the boundedness of E_p.

Mathematical Subject Classification

Primary: 46.60

Milestones

Received: 5 September 1969

Published: 1 April 1970