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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
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 w 0 = 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
Copyright
Copyright © Canadian Mathematical Society 1987

References

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