Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1217.43001
Yousefi, Marzieh Shams; Amini, Massoud; Sady, Fereshteh
Complete order amenability of the Fourier algebra. (English)
[J] Indian J. Pure Appl. Math. 41, No. 3, 485-504 (2010). ISSN 0019-5588; ISSN 0975-7465/e

The authors define complete order amenability and first-order cohomology groups for quantized Banach ordered algebras. Let $G$ be a locally compact group. Then the Fourier algebra $A(G)$ is a quantized Banach ordered algebra. It is proved that $A(G)$ is complete order amenable if and only if $A(G)$ is operator amenable. The authors also show that all complete order derivations from $A(G)$ to any dual Banach completely ordered $A(G)$-bimodule are inner if and only if $A(G)$ is operator amenable.
[Tianxuan Miao (Thunder Bay)]

MSC 2000:: *43A07 Means on groups, etc.
22D15 Group algebras of locally compact groups

Keywords: Banach ordered algebras; Fourier algebras; operator amenability; complete order amenability

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]