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Functional Calculus for Banach Function Algebras and Banach Function Spaces of Continuous Functions Vanishing at Infinity

✍ Scribed by Eggert Briem

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
320 KB
Volume
151
Category
Article
ISSN
0022-1236

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✦ Synopsis

We show among other things that if B is a Banach function space of continuous real-valued functions vanishing at infinity on a locally compact Hausdorff space X, with the property that for some odd natural number p>1, b 1Γ‚ p # B for all b # B, then B=C 0 (X ).

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