Complete order amenability of the Fourier algebra

Marzieh Shams Yousefi (), Massoud Amini () and Fereshteh Sady ()
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Marzieh Shams Yousefi: Tarbiat Modares University
Massoud Amini: Tarbiat Modares University
Fereshteh Sady: Tarbiat Modares University

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 3, 485-504

Abstract: Abstract We define complete order amenability and first complete order cohomology groups for quantized Banach ordered algebras and show that the vanishing of the latter is equivalent to the operator amenability for the Fourier algebra.

Keywords: Banach ordered algebras; Fourier algebra; operator amenability; complete order amenability; order tensor product (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0028-7

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