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Banach空间中的广义p正常算子
引用本文:田立新. Banach空间中的广义p正常算子[J]. 江苏大学学报(自然科学版), 1987, 0(1)
作者姓名:田立新
摘    要:本文是在文献[4]基础上利用广义半内积空间的理论引入Banach空间上的广义p正常算子T=A+iB,AB-BA=0,其中A,B是广义p自共轭算子;同时还引入广义p正常算子的对偶算子T~*=A-iB及广义p酉算子,并就这些算子的有关谱进行了讨论。

关 键 词:广义p自共轭算子  广义p正常算子  广义p酉算子  广义半内积空间

Generalized p - normal Operator in Banach Space
T i a n Lixin. Generalized p - normal Operator in Banach Space[J]. Journal of Jiangsu University:Natural Science Edition, 1987, 0(1)
Authors:T i a n Lixin
Affiliation:T i a n Lixin
Abstract:Based on Reference [4] , introduced are generalized p-normal operator T = A + iB, AB-BA=0, where A, B are generalized p-selt-adjoint operators, its dual operator T* = A-iB,and generalized p-unitary operator in Banach space by using theory of generalized semi-inner product space. Then some properties of the spectrum of those operators are discussed.
Keywords:generalized p-self-adjoint operator   generalized p-normal operator  generalized p-unitary operator  generalized semi-inner product space.  
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