Additivity of maps on generalized matrix algebras

Additivity of Jordan Triple Product Homomorphisms on Generalized Matrix Algebras

In this article, it is proved that under some conditions every bijective Jordan triple product homomorphism from generalized matrix algebras onto rings is additive. As a corollary, we obtain that every bijective Jordan triple product homomorphism from Mn(A) (A is not necessarily a prime algebra) onto an arbitrary ring R is additive.

Additivity of maps preserving Jordan $eta_{ast}$-products on $C^{*}$-algebras

Let $mathcal{A}$ and $mathcal{B}$ be two $C^{*}$-algebras such that $mathcal{B}$ is prime. In this paper, we investigate the additivity of maps $Phi$ from $mathcal{A}$ onto $mathcal{B}$ that are bijective, unital and satisfy $Phi(AP+eta PA^{*})=Phi(A)Phi(P)+eta Phi(P)Phi(A)^{*},$ for all $Ainmathcal{A}$ and $Pin{P_{1},I_{mathcal{A}}-P_{1}}$ where $P_{1}$ is a nontrivial projection in $mathcal{A...

Iteration of Quadratic Maps on Matrix Algebras

ALEXANDRA NASCIMENTO BAPTISTA Department of Mathematics, School of Technology and Management, Polytechnic Institute of Leiria, Campus 2, Morro do Lena – Alto do Vieiro, 2411-901, Leiria, Portugal Centro de Investigação em Matemática e Aplicações, University of Évora, Rua Romão Ramalho, 59, 7000-671, Évora, Portugal CARLOS CORREIA RAMOS Centro de Investigação em Matemática e Aplicações, Departme...

additivity of maps preserving jordan $eta_{ast}$-products on $c^{*}$-algebras

let $mathcal{a}$ and $mathcal{b}$ be two $c^{*}$-algebras such that $mathcal{b}$ is prime. in this paper, we investigate the additivity of maps $phi$ from $mathcal{a}$ onto $mathcal{b}$ that are bijective, unital and satisfy $phi(ap+eta pa^{*})=phi(a)phi(p)+eta phi(p)phi(a)^{*},$ for all $ainmathcal{a}$ and $pin{p_{1},i_{mathcal{a}}-p_{1}}$ where $p_{1}$ is a nontrivial projection in $mathcal{a...

Multiplicative bijective maps on standard operator algebras