Geodesic
Character pseudo-amenability of Banach algebras
Rasoul Nasr-Isfahani 1   ; Mehdi Nemati 2
1 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111, Iran
2 School of Mathematics Institute for Research in Fundamental Sciences (IPM) Tehran, P.O. Box 19395-5746, Iran
Colloquium Mathematicum, Tome 132 (2013) no. 2, pp. 177-193 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $\mathcal {A}$ be a Banach algebra and let $\phi $ be a nonzero character on $\mathcal {A}$. We introduce and study a new notion of amenability for $\mathcal {A}$ based on existence of a $\phi $-approximate diagonal by modifying the concepts of $\phi $-amenability and pseudo-amenability. We then apply these results to characterize $\phi $-pseudo-amenability of various Banach algebras related to locally compact groups such as group algebras, measure algebras, certain dual algebras and Lebesgue–Fourier algebras.
DOI : 10.4064/cm132-2-2
Keywords: mathcal banach algebra phi nonzero character mathcal introduce study notion amenability mathcal based existence phi approximate diagonal modifying concepts phi amenability pseudo amenability apply these results characterize phi pseudo amenability various banach algebras related locally compact groups group algebras measure algebras certain dual algebras lebesgue fourier algebras

Rasoul Nasr-Isfahani  1   ; Mehdi Nemati  2

1 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111, Iran
2 School of Mathematics Institute for Research in Fundamental Sciences (IPM) Tehran, P.O. Box 19395-5746, Iran 
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Rasoul Nasr-Isfahani; Mehdi Nemati. Character pseudo-amenability of Banach algebras. Colloquium Mathematicum, Tome 132 (2013) no. 2, pp. 177-193. doi: 10.4064/cm132-2-2

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