| U-标算子的连续演算 |
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| 引用本文： | 孙万贵.U-标算子的连续演算[J].数学学报,2004,47(3):505-510. |
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| 作者姓名： | 孙万贵 |
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| 作者单位： | 西北大学数学系,西安,710069 |
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| 摘 要： | 本文给出了U-标算子经连续算子演算后有界的充分条件。另外,对一给定的U-标算子T,证明了当函数μ(t)连续可导时算子μ(T)有界,但存在连续函数使得μ(T)无界。
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| 关 键 词： | U-标算子 算子演算 有界性 |
| 文章编号： | 0583-1431(2004)03-0505-06 |
The Continuous Calculus of U-Scalar Operators |
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| Wan Gui SUN.The Continuous Calculus of U-Scalar Operators[J].Acta Mathematica Sinica,2004,47(3):505-510. |
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| Authors: | Wan Gui SUN |
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| Institution: | Wan Gui SUN Department of Mathematics, Northweat University, Xi'an 710069, P. R. China |
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| Abstract: | The sufficient conditions are given for the continuous calculus of U-scalar
operators to be bounded. And for a certain U-scalar operator T, we prove that operator
u(T) is bounded if u′(t) is continuous. Yet there exists a continuous function u(t) such
that u(T) is unbounded. |
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| Keywords: | U-scalar operator Continuous calculus Boundedness |
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