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http://dx.doi.org/10.4134/BKMS.2007.44.4.753

SUBADDITIVE SEPARATING MAPS BETWEEN REGULAR BANACH FUNCTION ALGEBRAS  

Sady, Fereshteh (DEPARTMENT OF MATHEMATICS TARBIAT MODARES UNIVERSITY)
Estaremi, Yousef (DEPARTMENT OF MATHEMATICS TARBIAT MODARES UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 753-761 More about this Journal
Abstract
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.
Keywords
separating maps; regular Banach function algebras; Ditkin's condition; strongly pointwise subadditive map;
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