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自反代数的环自同构和环反自同构(英文)
Ring Automorphisms and Ring Antiautomorphisms of Reflexive Algebras
【摘要】 设为Banach空间X中一自反代数使得在Lat中O+≠O且X_≠X,则的每一环自同构φ(环反自同构ψ)具有形式φ(A)=TAT-1(ψ(A)=TA*T-1),其中T:X→X(T:X*→X)或为一有界线性双射算子或为一有界共轭线性双射算子。特别地,φ和ψ都是连续的。
【Abstract】 Let be a reflexive algebra in Banach space X such that O+≠O and X_≠X in Lat, thenevery ring automorphism φ (resp. ring antiautornorphism ψ) of is of the form φ(A) =TAT-1 (resp. ψ(A)= TA* T-1), where T: X→X (resp. T: X*→X) is either a bounded linear bijective operator or a boundedconjugate linear bijective operator. In particular, both φ and ψ are continuous.
- 【文献出处】 应用泛函分析学报 ,ACTA ANALYSIS FUNCTIONALIS APPLICATA , 编辑部邮箱 ,2000年01期
- 【分类号】O177
- 【下载频次】15