Properties of derivations on some convolution algebras
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Properties of derivations on some convolution algebras. / Pedersen, Thomas Vils.
In: Central European Journal of Mathematics, Vol. 12, No. 5, 2014, p. 742-751.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Properties of derivations on some convolution algebras
AU - Pedersen, Thomas Vils
PY - 2014
Y1 - 2014
N2 - 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 showthat the extension of Dμ to a natural dual space is weak-star continuous.
AB - 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 showthat the extension of Dμ to a natural dual space is weak-star continuous.
U2 - 10.2478/s11533-013-0373-y
DO - 10.2478/s11533-013-0373-y
M3 - Journal article
VL - 12
SP - 742
EP - 751
JO - Central European Journal of Mathematics
JF - Central European Journal of Mathematics
SN - 1895-1074
IS - 5
ER -
ID: 108651643