Properties of derivations on some convolution algebras

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For all convolution algebras L1[0; 1); L1 loc and A(!) = T n L1(!n), the derivations are of the form Dμf = Xf μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show
that the extension of Dμ to a natural dual space is weak-star continuous.
Original languageEnglish
JournalCentral European Journal of Mathematics
Volume12
Issue number5
Pages (from-to)742-751
ISSN1895-1074
DOIs
Publication statusPublished - 2014

ID: 108651643