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Subadditive separating maps between regular Banach function algebras
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Abstract
In this note we extend the results of [3] concerning subaddi-tive separating maps from A = C(X ) to B = C(Y), for compact Haus-dor spacesX and Y, to the case whereA and B are regular Banachfunction algebras (not necessarily unital) with A satisfying Ditkin’s con-dition. In particular we describe the general form of these maps and geta result on continuity of separating linear functionals.
참고문헌 (10)
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- "Banach algebras and automatic continuity , London Mathematical SocietyMonographs. New Series, 24" (2000), Oxford Science Publications. The Clarendon Press, OxfordUniversity Press, New York
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- "The separating map: a survey", 1(52), pp.637~648 (1998)
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