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Generalization of the B *-algebra (C0(X),∥ ∥∞)

✍ Scribed by Jorma Arhippainen; Jukka Kauppi

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
158 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We give a generalization of the Stone–Weierstrass property for subalgebras of C (X), with X a completely regular Hausdorff space. In particular, we study in this paper some subalgebras of C~0~(X), with X a locally compact Hausdorff space, provided with weighted norm topology. By using the Stone–Weierstrass property, we then describe the ideal structure of these algebras. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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