Character pseudo-amenability of Banach algebras

• Autorzy: Rasoul Nasr-Isfahani , Mehdi Nemati
• Języki publikacji: EN

Abstrakty

EN

Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We introduce and study a new notion of amenability for 𝓐 based on existence of a ϕ-approximate diagonal by modifying the concepts of ϕ-amenability and pseudo-amenability. We then apply these results to characterize ϕ-pseudo-amenability of various Banach algebras related to locally compact groups such as group algebras, measure algebras, certain dual algebras and Lebesgue-Fourier algebras.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 132
• Numer: 2
• Strony: 177-193

Daty

wydano

2013

Twórcy

autor

Rasoul Nasr-Isfahani

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

autor

Mehdi Nemati

• School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, P.O. Box 19395-5746, Iran

Identyfikatory

DOI

10.4064/cm132-2-2