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Complete order amenability of the Fourier algebra

Author

Listed:
  • Marzieh Shams Yousefi

    (Tarbiat Modares University)

  • Massoud Amini

    (Tarbiat Modares University)

  • Fereshteh Sady

    (Tarbiat Modares University)

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.

Suggested Citation

  • Marzieh Shams Yousefi & Massoud Amini & Fereshteh Sady, 2010. "Complete order amenability of the Fourier algebra," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(3), pages 485-504, June.
    • Handle: RePEc:spr:indpam:v:41:y:2010:i:3:d:10.1007_s13226-010-0028-7
    DOI: 10.1007/s13226-010-0028-7
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