A generalization of the Gleason-Kahane-Żelazko theorem

Chang P’ao Ch’ên

Vol. 107 (1983), No. 1, 81–87

DOI: 10.2140/pjm.1983.107.81

Abstract

In this paper, we consider two classes of commutative Banach algebras, which include Cⁿ(T), Lip_α(T), BV (T), L¹ ∩ L^p(G), A^p(G), L¹ ∩ C₀(G), l^p, c₀, and C₀(S). We characterize ideals of finite codimension in these two classes of algebras and thereby partially answer a question suggested by C. R. Warner and R. Whitley.

Mathematical Subject Classification 2000

Primary: 46J20

Milestones

Received: 10 September 1981

Revised: 20 January 1982

Published: 1 July 1983