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Nonstandard Ideals in Radical Convolution Algebras on a Half-Line

Published online by Cambridge University Press:  20 November 2018

H. G. Dales  and
J. P. McClure
H. G. Dales
Affiliation:
University of Leeds, Leeds, England
J. P. McClure
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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This note is about the interplay between two classes of radical Banach algebras, and we begin by describing the algebras in question.

A weight sequence is a positive sequence w = (wn) defined on Z+ (the non-negative integers) and satisfying w0 = 1 and wm+n ≦ wmwn for all m and n in Z+. For such a sequence w, the Banach space

is a Banach algebra with respect to the convolution product, defined by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 39 , Issue 2 , 01 April 1987 , pp. 309 - 321
Copyright
Copyright © Canadian Mathematical Society 1987

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