‎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...

‎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...

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

1. Faculty of Nursing, Philadelphia University, Amman, Jordan 2. Faculty of Nursing, Jordan University of Science and Technology, Irbid, Jordan 3. Faculty of Nursing, Irbid National University, Irbid, Jordan 4. Faculty of Nursing, Al-AlBayt University, Al-Mafraq, Jordan 5. Faculty of Nursing, Applied Science Private University, Amman, Jordan 6. Faculty of Allied Medical Science, Jordan Universi...

The famous primary and cyclic decomposition theorems along with the tightly related rational and Jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.

1 Department of Pharmaceutical Sciences, Faculty of Pharmacy, the University of Jordan, Amman, Jordan. 2 Department of Pharmacology and Biomedical Sciences, Faculty of Pharmacy and Medical Sciences, Petra University, Amman, Jordan. 3 Department of Biopharmaceutics and Clinical Pharmacy, Faculty of Pharmacy, the University of Jordan, Amman, Jordan. 4 Department of Pharmaceutics and Pharmaceutica...

let a be a unital r-algebra and m be a unital a-bimodule. it is shown that every jordan derivation of the trivial extension of a by m, under some conditions, is the sum of a derivation and an antiderivation.

The main purpose of the study is to examine the causal relationship between government revenues and expenditures of the Jordan government over the period from 1990 to 2011 using Granger causality and VECM tests methodology. Which provides channels of causation between government revenues (GR) and government expenditures (GE).The empirical results show that bidirectional causality running betwee...