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COHOMOLOGICAL CHARACTERIZATIONS OF CHARACTER PSEUDO-AMENABLE BANACH ALGEBRAS

Part of: Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  21 July 2011

RASOUL NASR-ISFAHANI  and
MEHDI NEMATI
RASOUL NASR-ISFAHANI*
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (email: isfahani@cc.iut.ac.ir)
MEHDI NEMATI
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran (email: m.nemati@math.iut.ac.ir)
*
✉For correspondence; e-mail: isfahani@cc.iut.ac.ir
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Abstract

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For a Banach algebra 𝒜 and a character ϕ on 𝒜, we have recently introduced and studied the notion of ϕ-pseudo-amenability of 𝒜. Here, we give some characterizations of this notion in terms of derivations from 𝒜 into various Banach 𝒜-bimodules.

Keywords

Banach algebrapseudo-amenableapproximate diagonalϕ-pseudo-amenable

MSC classification

Secondary: 46H05: General theory of topological algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 2 , October 2011 , pp. 229 - 237
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

[1]Alaghmandan, M., Nasr-Isfahani, R. and Nemati, M., ‘Character amenability and contractibility of abstract Segal algebras’, Bull. Aust. Math. Soc. 82 (2010), 274–281.CrossRefGoogle Scholar
[2]Bharucha, P., ‘Approximate weak amenability of I 0(SL(2,ℝ))’, Bull. Aust. Math. Soc. 82 (2010), 18–21.CrossRefGoogle Scholar
[3]Dales, H. G., Loy, R. J. and Zhang, Y., ‘Approximate amenability for Banach sequence algebras’, Studia Math. 177 (2006), 81–96.CrossRefGoogle Scholar
[4]Ghahramani, F. and Loy, R. J., ‘Generalized notations of amenability’, J. Funct. Anal. 208 (2004), 229–260.CrossRefGoogle Scholar
[5]Ghahramani, F. and Zhang, Y., ‘Pseudo-amenable and pseudo-contractible Banach algebras’, Math. Proc. Cambridge Philos. Soc. 142 (2007), 111–123.CrossRefGoogle Scholar
[6]Hu, Z., Monfared, M. S. and Traynor, T., ‘On character amenable Banach algebras’, Studia Math. 193 (2009), 53–78.CrossRefGoogle Scholar
[7]Kaniuth, E., Lau, A. T. and Pym, J., ‘On ϕ-amenability of Banach algebras’, Math. Proc. Cambridge Philos. Soc. 144 (2008), 85–96.CrossRefGoogle Scholar
[8]Kaniuth, E., Lau, A. T. and Pym, J., ‘On character amenability of Banach algebras’, J. Math. Anal. Appl. 344 (2008), 942–955.CrossRefGoogle Scholar
[9]Lau, A. T., ‘Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups’, Fund. Math. 118 (1983), 161–175.Google Scholar
[10]Monfared, M. S., ‘Character amenability of Banach algebras’, Math. Proc. Cambridge Philos. Soc. 144 (2008), 697–706.CrossRefGoogle Scholar
[11]Nasr-Isfahani, R. and Nemati, M., ‘Character pseudo-amenability of Banach algebras’, Preprint.Google Scholar
[12]Pier, J. P., Amenable Banach Algebras, Pitman Research Notes in Mathematics Series, 172 (Longman Scientific and Technical, Harlow, 1988).Google Scholar