Additive maps preserving the fixed points of Jordan products of operators
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Let $\mathcal{B(X)}$ be the algebra of all bounded linear operators on a complex Banach space $\mathcal{X}$. In this paper, we determine the form of a surjective additive map $\phi: \mathcal{B(X)} \rightarrow \mathcal{B(X)}$ preserving the fixed points of Jordan products of operators, i.e., $F(AoB) \subseteq F(\phi(A) o\phi(B))$, for every $A,B \in \mathcal{B(X)}$, where $AoB=AB+BA$, and $F(A)$ denotes the set of all fixed points of operator $A$.
Keywords:
Language:
English
Published:
Wavelets and Linear Algebra, Volume:9 Issue: 1, Spring and Summer 2022
Pages:
31 to 36
https://www.magiran.com/p2541877
سامانه نویسندگان
مقالات دیگری از این نویسنده (گان)
-
Maps completely preserving zero triple Jordan product of operators
*
Journal of Mathematical Analysis and Convex Optimization, 2023 -
Maps Completely Preserving the Quadratic Operators
*
Sahand Communications in Mathematical Analysis, Spring 2023