• Title/Summary/Keyword: Ditkin's condition

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SUBADDITIVE SEPARATING MAPS BETWEEN REGULAR BANACH FUNCTION ALGEBRAS

  • Sady, Fereshteh;Estaremi, Yousef
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.753-761
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    • 2007
  • In this note we extend the results of [3] concerning subadditive separating maps from A=C(X) to B=C(Y), for compact Hausdorff spaces X and Y, to the case where A and B are regular Banach function algebras(not necessarily unital) with A satisfying Ditkin#s condition. In particular we describe the general form of these maps and get a result on continuity of separating linear functionals.