Some notions of amenability for certain products of Banach algebras

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

Abstrakty

EN

For two Banach algebras 𝓐 and ℬ, an interesting product $𝓐 ×_{θ}ℬ$, called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between 𝓐 and ℬ and their θ-Lau product.

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
• 43A20: L 1 -algebras on groups, semigroups, etc.
• 43A10: Measure algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 130
• Numer: 2
• Strony: 147-157

Daty

wydano

2013

Twórcy

autor

Eghbal Ghaderi

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
• School of Mathematics, Institute for Research in Fundamental Sciences (IPM)

autor

Rasoul Nasr-Isfahani

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
• School of Mathematics, Institute for Research in Fundamental Sciences (IPM)

autor

Mehdi Nemati

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
• School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran

Identyfikatory

DOI

10.4064/cm130-2-1