| Banach空间中的广义p正常算子 |
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| 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(1). |
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| 作者姓名： | 田立新 |
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| 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。
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| 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 |
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| T i a n Lixin.Generalized p - normal Operator in Banach Space[J].Journal of Jiangsu University:Natural Science Edition,1987(1). |
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| Authors: | T i a n Lixin |
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| Institution: | T i a n Lixin |
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| 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. |
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| Keywords: | generalized p-self-adjoint operator generalized p-normal operator generalized p-unitary operator generalized semi-inner product space |
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