Some mapping properties of the group algebras of a compact group

Charles A. Akemann

Vol. 22 (1967), No. 1, 1–8

DOI: 10.2140/pjm.1967.22.1

Abstract

A number of equivalent conditions are given under which certain representations of M(G) and L¹(G) have closed range. A faithful representation with closed range implies the finiteness of G. Weakly compact operators on L¹(G) commuting with right translations are classified as left convolutions by functions in L¹(G).

Mathematical Subject Classification

Primary: 46.80

Secondary: 22.65

Milestones

Received: 28 July 1966

Published: 1 July 1967