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http://dx.doi.org/10.4134/CKMS.c180209

ALGEBRAS OF GELFAND-CONTINUOUS FUNCTIONS INTO ARENS-MICHAEL ALGEBRAS  

Oubbi, Lahbib (Department of Mathematics Ecole Normale Superieure University Mohammed V in Rabat)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.2, 2019 , pp. 585-602 More about this Journal
Abstract
We characterize Gelfand-continuous functions from a Tychonoff space X into an Arens-Michael algebra A. Then we define several algebras of such functions, and investigate them as topological algebras. Finally, we provide a class of examples of (metrizable) commutative unital complete Arens-Michael algebras A and locally compact spaces X for which all these algebras differ from each other.
Keywords
Gelfand-continuous function; Arens-Michael algebra; locally multiplicatively convex algebra; character; Gelfand representation;
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Times Cited By KSCI : 1  (Citation Analysis)
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