A. Ghaffari
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran.
[ 1 ] - $varphi$-Connes amenability of dual Banach algebras
Generalizing the notion of character amenability for Banach algebras, we study the concept of $varphi$-Connes amenability of a dual Banach algebra $mathcal{A}$ with predual $mathcal{A}_*$, where $varphi$ is a homomorphism from $mathcal{A}$ onto $Bbb C$ that lies in $mathcal{A}_*$. Several characterizations of $varphi$-Connes amenability are given. We also prove that the follo...
[ 2 ] - varphi-amenability of Banach algebras
Let $A$ be an arbitrary Banach algebra and $varphi$ a homomorphism from $A$ onto $Bbb C$. Our first purpose in this paper is to give some equivalent conditions under which guarantees a $varphi$-mean of norm one. Then we find some conditions under which there exists a $varphi$-mean in the weak$^*$ cluster of ${ain A; |a|=varphi(a)=1}$ in $A^{**}$.
[ 3 ] - AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS
The purpose of this article is to develop the notions of amenabilityfor vector valued group algebras. We prove that L1(G, A) is approximatelyweakly amenable where A is a unital separable Banach algebra. We givenecessary and sufficient conditions for the existence of a left invariant meanon L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).
[ 4 ] - Characterizations of amenable hypergroups
Let $K$ be a locally compact hypergroup with left Haar measure and let $L^1(K)$ be the complex Lebesgue space associated with it. Let $L^infty(K)$ be the dual of $L^1(K)$. The purpose of this paper is to present some necessary and sufficient conditions for $L^infty(K)^*$ to have a topologically left invariant mean. Some characterizations of amenable hypergroups are given.
[ 5 ] - مدل‌سازی سوءاستفادة برخی پزشکان از اعتماد بیمار با استفاده از زنجیرة مارکوف و راهبرد ZD
در مطالعة پیش‌رو، سوءاستفادة برخی پزشکان از اعتماد بیماران خود برای به‌دست‌آوردن منافع اقتصادی بیشتر به‌کمک راهبرد دترمینان صفر و زنجیرة مارکوف بررسی شده است. هنگامی که شخصی به پزشک مراجعه می‌کند، باید به او اعتماد کند و توصیه‌هایش را جدی بگیرد؛ بنابراین اگر بیماری صعب‌العلاج باشد، راه برای سوءاستفادة بیشتر باز خواهد بود و اگر پزشک چنین هدفی را دنبال کند، برای کسب موفقیت بیشتر خود، حتی با ایجاد...
[ 6 ] - Investigation of Game Between Cells in Occurrence of Genetic Mutations Using Evolutionary Game Theory
In this paper, two games that play a role in creating a cancer tumor and suppression are studied using evolutionary game theory and its different modes are analyzed. The first game is the competition between a cancer cell and a healthy cell to receive food through the blood. In the second game, the interaction between the two oncogenes Ras and Myc is examined for cellular deformation
[ 7 ] - $varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS
In this paper we define $varphi$-Connes module amenability of a dual Banach algebra $mathcal{A}$ where $varphi$ is a bounded $w_{k^*}$-module homomorphism from $mathcal{A}$ to $mathcal{A}$. We are mainly concerned with the study of $varphi$-module normal virtual diagonals. We show that if $S$ is a weakly cancellative inverse semigroup with subsemigroup $E$ of idemp...
[ 8 ] - Uniform Convergence to a Left Invariance on Weakly Compact Subsets
Let $left{a_alpharight}_{alphain I}$ be a bounded net in a Banach algebra $A$ and $varphi$ a nonzero multiplicative linear functional on $A$. In this paper, we deal with the problem of when $|aa_alpha-varphi(a)a_alpha|to0$ uniformly for all $a$ in weakly compact subsets of $A$. We show that Banach algebras associated to locally compact groups such as Segal algebras and $L^1$-algebras are resp...
Co-Authors