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Symbolic Calculus on a Banach Algebra of Continuous Functions

✍ Scribed by O. Hatori

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
1018 KB
Volume
115
Category
Article
ISSN
0022-1236

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✦ Synopsis

The symbolic calculus on Banach algebras of continuous functions and related spaces is studied. In particular, functions operating on the real part of the algebra are considered. The main tool in this paper is an ultraseparation argument. As a consequence it is shown, for example, that (t^{p}) on ([0,1)) for any (p) with (0<p<1) does not operate on the real part of a Banach function algebra on a compact Hausdorff space unless the algebra contains every continuous function. 1993 Academic Press. Inc.

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