A generalization of cyclic amenability of Banach algebras

Rok, strany: 2015, 633 - 644

This paper continues the investigation of Esslamzadeh and the first author which was begun in [ESSLAMZADEH, G. H.—SHOJAEE, B.: Approximate weak amenability of Banach algebras, Bull. Belg. Math. Soc. Simon Stevin 18 (2011), 415–429]. It is shown that homomorphic image of an approximately cyclic amenable Banach algebra is again approximately cyclic amenable. Equivalence of approximate cyclic amenability of a Banach algebra $\mathcal{A}$ and approximate cyclic amenability of $M_n(\mathcal{A})$ is proved. It is shown that under certain conditions the approximate cyclic amenability of second dual $\mathcal{A}^**$ implies the approximate cyclic amenability of $\mathcal{A}$.

ISO 690:

Shojaee, B., Bodaghi, A. 2015. A generalization of cyclic amenability of Banach algebras. In Mathematica Slovaca, vol. 65, no.3, pp. 633-644. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0044

APA:

Shojaee, B., Bodaghi, A. (2015). A generalization of cyclic amenability of Banach algebras. Mathematica Slovaca, 65(3), 633-644. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0044