Browsing Faculty of Science by Author "Robdera, M.A."
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Saab, P.; Robdera, M.A. (Glasgow Mathematical Journal Trust, http://journals.cambridge.org/action/displayJournal?jid=GMJ, NaN, 2011)[more][less]
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. Description: the symbols on the abstract may differ from the original script URI: http://hdl.handle.net/10311/1004 Files in this item: 1
Saab_GMJ_2012.pdf (83.98Kb)
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