in this paper, we give a characterization of strongly jordan zero-product preserving maps on normed algebras as a generalization of  jordan zero-product preserving maps. in this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly jordan zero-product preserving maps are completely different. also, we prove that the direct p...

‎let $mathcal{a}$ be a unital banach algebra‎, ‎$mathcal{m}$ be a left $mathcal{a}$-module‎, ‎and $w$ in $mathcal{z}(mathcal{a})$ be a left separating point of $mathcal{m}$‎. ‎we show that if $mathcal{m}$ is a unital left $mathcal{a}$-module and $delta$ is a linear mapping from $mathcal{a}$ into $mathcal{m}$‎, ‎then the following four conditions are equivalent‎: ‎(i) $delta$ is a jordan left de...

This article re-examines Jewish population in what is now Israel using historical estimates from Ottoman, Mandatory British and United Nations sources recent data the Israeli census bureau. A logistic model generates backward extrapolations forward projections. The quantifies three waves of immigration totalling about 3.5 million. Subtracting immigrant total numbers gives main empirical traject...

Let $nin mathbb{N}$. An additive map $h:Ato B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $ain A$. We show that every $n$-Jordan homomorphism between commutative Banach algebras is a $n$-ring homomorphism when $n < 8$. For these cases, every involutive $n$-Jordan homomorphism between commutative C-algebras is norm continuous.

To update the knowledge of ichthyofauna Tumbes River basin, we provide a list species. We report 47 species fishes, grouped into 23 families and 11 orders. Characiformes was most diverse order with 12 (25.5% total richness), followed by Carangiformes eight (17%). In our study, two are newly reported from this river basin: Pseudophallus starksii (Jordan &amp; Culver, 1895) Evorthodus minutus Mee...

using fixed pointmethods, we investigate approximately higher ternary jordan derivations in banach ternaty algebras via the cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$

Sabah and Nidal (names changed) were abandoned by their mother as toddlers and left with their father, who had no idea how to look after them. After feeding them and changing their diapers in the morning, he would leave them alone for 10 hours while he went to work. The children are now in the care of the Dar Al Aman child protection centre in Amman, Jordan. Dar Al Aman – which means “house of ...