Geodesic
VECTOR MEASURES OF BOUNDED SEMIVARIATION AND ASSOCIATED CONVOLUTION OPERATORS
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 333-340

Voir la notice de l'article provenant de la source Cambridge University Press

Let G be a compact metrizable abelian group, and let X be a Banach space. We characterize convolution operators associated with a regular Borel X-valued measure of bounded semivariation that are compact (resp; weakly compact) from L1(G), the space of integrable functions on G into L1(G) X, the injective tensor product of L1(G) and X. Along the way we prove a Fourier Convergence theorem for vector measures of relatively compact range that are absolutely continuous with respect to the Haar measure.
DOI : 10.1017/S0017089510000741
Mots-clés : 46G10, 46B99 
SAAB, PAULETTE; ROBDERA, MANGATIANA A. VECTOR MEASURES OF BOUNDED SEMIVARIATION AND ASSOCIATED CONVOLUTION OPERATORS. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 333-340. doi: 10.1017/S0017089510000741
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