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Functional calculus and ∗-regularity of a class of Banach algebras II

✍ Scribed by Chi-Wai Leung; Chi-Keung Ng


Book ID
108175385
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
167 KB
Volume
322
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


Symbolic Calculus on a Banach Algebra of
✍ O. Hatori 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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

Functional Calculus for Banach Function
✍ Eggert Briem 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 320 KB

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 1Â p # B for all b # B, then B=C 0 (X ).

An infinite dimensional functional calcu
✍ Séan Dineen; Robin Harte; Maria J. Rivera 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 148 KB

## Abstract The presence of a modulus function on a Banach algebra gives rise to tensor product norms analogous to the greatest cross‐norm and allows us to extend the Waelbroeck functional calculus. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)