Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ALGEBRAS OF GELFAND-CONTINUOUS FUNCTIONS INTO ARENS-MICHAEL ALGEBRAS

  • Oubbi, Lahbib (Department of Mathematics Ecole Normale Superieure University Mohammed V in Rabat)
  • Received : 2018.05.14
  • Accepted : 2018.12.05
  • Published : 2019.04.30
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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.

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References

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