Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Additivity of maps preserving products $AP\pm PA^{*}$ on $C^{*}$-algebras

In: Mathematica Slovaca, vol. 67, no. 1
Mohsen Taghavi - Vahid Darvish - Hamid Rohi
Detaily:
Rok, strany: 2017, 213 - 220
Kľúčové slová:
new product, additive, prime $C^{*}$-algebras
O článku:
Let $\mathcal{A}$ and $\mathcal{B}$ be two prime $C^{*}$-algebras. In this paper, we investigate the additivity of map $\Phi$ from $\mathcal{A}$ onto $\mathcal{B}$ that are bijective unital and satisfies $$ \Phi(AP+\lambda PA^{*})=\Phi(A)\Phi(P)+\lambda \Phi(P)\Phi(A)^{*}, $$ for all $A\in\mathcal{A}$ and $P\in\{P_{1},I_{\mathcal{A}}-P_{1}\}$ where $P_{1}$ is a nontrivial projection in $\mathcal{A}$ and $\lambda\in\{-1,+1\}$. Then, $\Phi$ is $*$-additive.
Ako citovať:
ISO 690:
Taghavi, M., Darvish, V., Rohi, H. 2017. Additivity of maps preserving products $AP\pm PA^{*}$ on $C^{*}$-algebras. In Mathematica Slovaca, vol. 67, no.1, pp. 213-220. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0260

APA:
Taghavi, M., Darvish, V., Rohi, H. (2017). Additivity of maps preserving products $AP\pm PA^{*}$ on $C^{*}$-algebras. Mathematica Slovaca, 67(1), 213-220. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0260
O vydaní:
Publikované: 1. 2. 2017