MAPS PRESERVING THE FIXED POINTS OF SUM OF OPERATORS

作者：Taghavi Ali^*; Hosseinzadeh Roja; Rohi Hamid

来源：Operators and Matrices, 2015, 9(3): 563-569.

DOI：10.7153/oam-09-34

• Preserver problem
• operator algebra
• fixed point

Let B(X) be the algebra of all bounded linear operators on a complex Banach space X with dimX >= 2. In this paper, we characterize the maps on B(X) which preserve the fixed points of sum of operators. Moreover, if X is a finite dimensional Banach space, we also characterize the maps on B(X) which preserve the dimension of fixed points of sum of operators.

• 出版日期2015-9