S. Mohammadzadeh

University of Bojnord

The ultimate goal in this article is to introduce the concepts of \(\otimes\)-amenability and weak \(\otimes\)-amenability of a Banach coalgebra \(\mathfrak {C}\) and examine the dependence of these properties with the amenability and weak amenability of the Banach algebra \(\mathfrak {C}^{*}\). For this purpose, we first study the Banach \(\mathfr...

In this paper, the relations between the topological centers of bounded bilinear mappings and some of their higher rank adjoints are investigated. Particularly, for a Banach algebra A, some results about the Banach A−modules and Arens regularity and strong Arens irregularity of module actions will be obtained.

In this paper, we study nonlinear FitzHugh-Nagumo mathematical model, a class of poly-nomial systems with non-negative interval parameters. By using interval polynomial theory, will be presented conditions that guarantee stability of given model. Finllay, numerical simu-lations will con�rm the analytical results.

By this erratum, we acknowledge that Example 3.2 (consequently Corollary 3.3) of the paper [Bull. Iran. Math. Soc. 35, No. 2, 25–36 (2009; Zbl 1202.46054)] is not correct and its proof is flawed.

We study the topological centers of some specific ad-joints of a Banach module action. Then, we investigate the Arens regularity and strong irregularity of these actions.

In this paper, first we give a simple criterion for the Arens regularity of a bilinear mapping on normed spaces, which applies in particular to Banach module actions and then we investigate those conditions under which the second adjoint of a derivation into a dual Banach module is again a derivation. As a consequence of the main result, a simple a...