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Complete order amenability of the Fourier algebra

Authors :
Massoud Amini
Fereshteh Sady
Marzieh Shams Yousefi
Source :
Indian Journal of Pure and Applied Mathematics. 41:485-504
Publication Year :
2010
Publisher :
Springer Science and Business Media LLC, 2010.

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.

Subjects

Subjects :
Algebra
Operator (computer programming)
Fourier algebra
Mathematics::Operator Algebras
Applied Mathematics
General Mathematics
Numerical analysis
Order (group theory)
Cohomology
Mathematics

Details

ISSN :
09757465 and 00195588
Volume :
41
Database :
OpenAIRE
Journal :
Indian Journal of Pure and Applied Mathematics
Accession number :
edsair.doi...........f969f9b412dd9c8505341cc944b7427b
Full Text :
https://doi.org/10.1007/s13226-010-0028-7
Full Text Access
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