Unbounded representations of ∗-algebras

Stanley P. Gudder and W. Scruggs

Vol. 70 (1977), No. 2, 369–382

DOI: 10.2140/pjm.1977.70.369

Abstract

Basic results on unbounded operator algebras are given, a general class of representations, called adjointable representations is introduced and irreducibility of representations is considered. A characterization of self-adjointness for closed, strongly cyclic ∗-representations is presented.

Mathematical Subject Classification 2000

Primary: 46L99

Milestones

Received: 13 January 1977

Revised: 19 May 1977

Published: 1 June 1977