关于*-Aluthge变换■(*)的一些性质
被引量：1
摘要
设T是复可分希尔伯特空间H上的有界线性算子.算子■和■(*)具有相同的闭值域点,■具有单值扩张性质当且仅当■(*)具有单值扩张性质.■有性质(β)当且仅当■(*)有性质(β).
出处
《金融教育研究》
2006年第S2期316-317,共2页
Research of Finance and Education
参考文献10
-
1Fumihiko Kimura.Analysis of Non-normal Operators via Aluthge Transformation[J]. Integral Equations and Operator Theory . 2004 (3)
-
2Il Bong Jung,Eungil Ko,Carl Pearcy.The Iterated Aluthge Transform of an Operator[J]. Integral Equations and Operator Theory . 2003 (4)
-
3Il Bong Jung,Eungil Ko,Carl Pearcy.Spectral pictures of Aluthge transforms of operators[J]. Integral Equations and Operator Theory . 2001 (1)
-
4Il Bong Jung,Eungil Ko,Carl Pearcy.Aluthge transforms of operators[J]. Integral Equations and Operator Theory . 2000 (4)
-
5Ariyadasa Aluthge.Onp-hyponormal operators for 0<p<1[J]. Integral Equations and Operator Theory . 1990 (3)
-
6C.Foias,I.B.Jung,E.Ko,and C.Pearcy.Complete con-tractivity of maps associated with the Aluthge and Duggal trans-forms. Pacific J.Mathematics . 2003
-
7K.Okubo.On weakly unitarily invariant norm and the Aluthgetransformation. Linear Algebra and Its Applications . 2003
-
8T.Yamazaki.On numerical range of the Aluthge transforma-tion. Linear Algebra and Its Applications . 2002
-
9Pei Yuan Wu.Numerical range of Aluthge transform of operator. Linear Algebra and Its Applications . 2002
-
10X.M.Liu,and G.X.Ji.Some properties of the generalized A-luthge transform. Nihonkai Math.J . 2004
-
1董志清,曹小红,赵海燕.Helton类算子及单值扩张性质（英文）[J].数学杂志,2014,34(6):1033-1043. 被引量：1
-
2石金娥,刘广彦.半群的单值扩张性质与解析性质[J].信息工程大学学报,2010,11(1):121-123.
-
3M.AMOUCH,H.ZGUITTI.A Note on the Browder's and Weyl's Theorem[J].Acta Mathematica Sinica,English Series,2008,24(12):2015-2020.
-
4戴磊,张同琦,曹小红.算子矩阵的性质(gω)[J].系统科学与数学,2015,35(2):214-220. 被引量：1
-
5吴学俪,曹小红,张敏.有界线性算子的单值扩张性质的摄动[J].山东大学学报（理学版）,2015,50(12):5-9. 被引量：1
-
6曹小红.Banach空间上的单值扩张性质[J].曲阜师范大学学报（自然科学版）,2000,26(2):8-10.
-
7王碧玉,曹小红.算子矩阵的Browder定理的摄动[J].山东大学学报（理学版）,2014,49(3):90-95.
-
8曹小红.Banach空间上的单值扩张性质[J].南京大学学报（数学半年刊）,2000,17(2):287-292.
-
9曹小红,殷俊强.渐近纠缠算子单值扩张性质的等价性[J].数学学报（中文版）,2012,55(5):919-928. 被引量：1
-
10陈丽,王桂花,兰社云.有拓扑一致降指数算子的(ω)性质的刻画[J].河南师范大学学报（自然科学版）,2012,40(4):22-24.
