Duggal变换与Aluthge变换的数值域  

Numerical range of the Duggal transform and Aluthge transform

作　　者：刘秀梅[1] 

机构地区：[1]浙江师范大学行知学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2010年第1期18-21,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10971195);浙江省教育厅科研项目(200909304)

摘　　要：设A是作用在复Hilbert空间H上的有界线性算子,证明了A的Duggal变换的数值域包含于A的数值域;同时,利用简洁的方法证明了A的Aluthge变换的数值域等于A的*-Aluthge变换的数值域.Let A be a bounded linear operator on a complex Hilbert space H.It was proved that the numericalrange of the Duggal transform of A was contained in that of A. It was also proved that the numerical range of the Aluthge transform of A was equal to that of the ＊ -Aluthge transform of A by a simplified method.

关 键 词：Duggal变换 ALUTHGE变换 ＊-Aluthge变换 数值域 

分 类 号：O177.1[理学—数学]