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Univalent functions in the Banach algebra of continuous functions

✍ Scribed by Yong Chan Kim, Jae Ho Choi

Book ID
120732610
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
123 KB
Volume
2013
Category
Article
ISSN
1025-5834

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πŸ“œ SIMILAR VOLUMES

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✍ O. Hatori πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 1018 KB

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

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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 ).