• Operator-valued convolution algebras, Vol 36, No.4

Authors: G.A. Bagheri-Bardi, Department of Mathematics, Persian Gulf University, Boushehr 75168, Iran (bagheri@pgu.ac.ir)A.R. Medghalchi, Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran 15614, Iran (medghalchi@saba.tmu.ac.ir), and N. Spronk, Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada (nspronk@uwaterloo.ca).
Operator-valued convolution algebras, pp. 1023-1036.
ABSTRACT. For any index sets I and J we consider the space of bounded I X J-matrices with entries in A. Under Schur multiplication, this space of matrices is itself a completely contractive Banach algebra. In particular, for any locally compact group, we obtain natural operator-valued Fourier-Stieltjes and measure algebras. We examine their properties in the context of abstract convolution algebras, which are defined via C*-bialgebras.

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Operator-valued convolution algebras, Vol 36, No.4

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