Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators

被引：0
|
作者：
R. Hosseinzadeh
I. Sharifi
A. Taghavi
机构：
[1] University of Mazandaran,Department of Mathematics, Faculty of Mathematical Sciences
来源：
Analysis Mathematica | 2018年 / 44卷
关键词：
completely preserver problem; standard operator algebra; fixed point; 46J10; 47B48;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let A and B be standard operator algebras on Banach spaces X and Y, respectively. In this paper, we show that every map completely preserving fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism. B be standard operator algebras on Banach spaces X and Y, respectively. In this paper, we show that every map completely preserving the fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving the kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism.
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页码：451 / 459
页数：8
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