ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR

数学物理学报 ›› 1981, Vol. 1 ›› Issue (1): 77-82.

ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR

夏道行

Research Institute of Mathematics, Fudan University, Shanghai Wuhan Institute of Mathematical Sciences, Academia Sinica

收稿日期:1980-07-17 出版日期:1981-03-26 发布日期:1981-03-26

ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR

Xia Daoxing

Research Institute of Mathematics, Fudan University, Shanghai Wuhan Institute of Mathematical Sciences, Academia Sinica

Received:1980-07-17 Online:1981-03-26 Published:1981-03-26

摘要/Abstract

摘要： Let H be a complex separable Hilbert space, L(H) be the algebra of all linear bounded operators in H, and SHU be the set of all operators T-U|T|∈L(H) satisfying the following conditions:(ⅰ) the operator U∈L(H) is unitary and (ⅱ)|T|∈L(H),
|T| ≥ U|T|U^-1 ≥ 0.

夏道行. ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR[J]. 数学物理学报, 1981, 1(1): 77-82.

Xia Daoxing. ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR[J]. Acta mathematica scientia,Series A, 1981, 1(1): 77-82.

ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR

ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR

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