| B(X)上保持约当积的固定点的满射 |
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| 引用本文： | 宋显花.B(X)上保持约当积的固定点的满射[J].数学的实践与认识,2021(3):182-185. |
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| 作者姓名： | 宋显花 |
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| 作者单位： | 青海师范大学数学与统计学院 |
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| 基金项目： | 青海师范大学校级项目:线性算子的广义逆研究(2018zr004)。 |
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| 摘 要： | 设B(X)是维数大于等于3的复Banach空间X上有界线性算子全体构成的代数.设A∈B(X),若Ax=x,则称x∈X是算子A的固定点.Fix(A)表示A的所有固定点的集合.本文刻画了B(X)上保持算子的Jordan积的固定点的满射.
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| 关 键 词： | 算子代数 保持 固定点 Jordan积 |
Surjections on B(X) Preserving the Fixed Points of Jordan Products of Operators in B(X) |
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| SONG Xian-hua.Surjections on B(X) Preserving the Fixed Points of Jordan Products of Operators in B(X)[J].Mathematics in Practice and Theory,2021(3):182-185. |
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| Authors: | SONG Xian-hua |
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| Institution: | (College of Mathematics and Statistics,Qinghai Normal University,Xining 810008,China) |
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| Abstract: | Let B(X) be the algebra of all bounded linear operators on complex Banach space X with dimX≥3.For any A E B(X),we call x ∈ X a fixed point of A if Ax=x.We denote Fix(A)={x∈X:Ax=x}.In this paper,a characterization is given for surjections on B(X) which preserve the fixed points of Jordan products of operators. |
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| Keywords: | operators algebra preserver fixed point jordan product |
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