Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
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Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.On the X basis in the Steenrod algebra
http://jlta.iauctb.ac.ir/article_668359_116525.html
‎Let $mathcal{A}_p$ be the mod $p$ Steenrod algebra‎, ‎where $p$ is an odd prime‎, ‎and let $mathcal{A}$ be the‎ subalgebra $mathcal{A}$ of $mathcal{A}_p$ generated by the Steenrod $p$th powers‎. ‎We generalize the $X$-basis in $mathcal{A}$ to $mathcal{A}_p$‎.Sat, 30 Nov 2019 20:30:00 +0100Approximate solutions of homomorphisms and derivations of the generalized Cauchy-Jensen ...
http://jlta.iauctb.ac.ir/article_669537_0.html
In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternative theorem. Moreover, we investigate Hyers-Ulam-Rassias stability of generalized $C^*$-ternary derivation for such function on $C^*$-algebras by the same method.Thu, 12 Dec 2019 20:30:00 +0100Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach
http://jlta.iauctb.ac.ir/article_668267_116525.html
‎In this paper‎, ‎we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method‎.Sat, 30 Nov 2019 20:30:00 +0100Measures of maximal entropy
http://jlta.iauctb.ac.ir/article_668429_116525.html
We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.Sat, 30 Nov 2019 20:30:00 +0100New iteration process for approximating fixed points in Banach spaces
http://jlta.iauctb.ac.ir/article_668946_116525.html
‎The object of this paper is to present a new iteration process‎. ‎We will show that our process is faster than the known recent iterative schemes‎. ‎We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings‎. ‎We also present a numerical example for proving the rate of convergence of our results‎. ‎Our results improves many known results of the existing literature‎.Sat, 30 Nov 2019 20:30:00 +0100Non-additive Lie centralizer of infinite strictly upper triangular matrices
http://jlta.iauctb.ac.ir/article_669109_116525.html
‎Let $mathcal{F}$ be an field of zero characteristic and $N_{infty‎}(‎mathcal{F})$ be the algebra of infinite strictly upper triangular‎ ‎matrices with entries in $mathcal{F}$‎, ‎and $f:N_{infty}(mathcal{F}‎)rightarrow N_{infty}(mathcal{F})$ be a non-additive Lie centralizer of $‎N_{infty }(mathcal{F})$; that is‎, ‎a map satisfying that $f([X,Y])=[f(X),Y]$‎ ‎for all $X,Yin N_{infty}(mathcal{F})$‎. ‎We prove that $f(X)=lambda X$‎, ‎where $lambda in mathcal{F}$‎.Sat, 30 Nov 2019 20:30:00 +0100$\gamma_{_\mu}$-Lindel\"{o}f generalized topological spaces
http://jlta.iauctb.ac.ir/article_669246_116525.html
‎In this paper we have introduced new types of sets termed as $omega_{_{gamma_{_mu}}}$-open sets with the help of an operation and a generalized topology‎. ‎We have also defined a notion of $gamma_{_mu}$-Lindel"{o}f spaces and discussed some of its basic properties‎. Sat, 30 Nov 2019 20:30:00 +0100$C$-class functions on common fixed point theorems for weak contraction mapping of ...
http://jlta.iauctb.ac.ir/article_669345_116525.html
‎In this paper‎, ‎we use the concept of $C$-class functions introduced‎ ‎by Ansari [4] to prove the existence and uniqueness of‎ ‎common fixed point for self-mappings in modular spaces of integral‎ ‎inequality‎. ‎Our results extended and generalized previous known‎ ‎results in this direction‎.Sat, 30 Nov 2019 20:30:00 +0100