Show simple item record Saab, P. Robdera, M.A. 2012-05-09T13:02:35Z 2012-05-09T13:02:35Z 2011
dc.identifier.citation Saab, P. & Robdera, M.A. (2011) Vector measures of bounded semivariation and associated convolution operators, Glasgow Mathematical Journal. Vol. 53, No. 2, pp.333–340 en_US
dc.identifier.issn 0017-0895 (Print)
dc.identifier.issn 1469-509X (Online)
dc.description the symbols on the abstract may differ from the original script en_US
dc.description.abstract 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)ˇ⊗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. en_US
dc.language.iso en en_US
dc.publisher Glasgow Mathematical Journal Trust, en_US
dc.subject Vector measures en_US
dc.subject Bounded semivariations en_US
dc.subject Convolution operators en_US
dc.title Vector measures of bounded semivariation and associated convolution operators en_US
dc.type Published Article en_US en_US

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