| 套代数模中酉算子的存在性 |
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| 引用本文： | 董浙.套代数模中酉算子的存在性[J].数学年刊A辑(中文版),2005(1). |
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| 作者姓名： | 董浙 |
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| 作者单位： | 浙江大学数学系 杭州 |
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| 基金项目： | 国家自然科学基金(No.10401030)
浙江省自然科学基金(No.M103044)资助的项目. |
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| 摘 要： | 假设套N是可接受的,则得到弱闭Alg(N)-模u中存在酉算子的充要条件是I-=I且对任意 M>0,有N->0.
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| 关 键 词： | 套代数模 酉算子 可接受的 |
THE EXISTENCE OF UNITARY OPERATORS IN NEST ALGEBRA MODULES |
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| DONG Zhe.THE EXISTENCE OF UNITARY OPERATORS IN NEST ALGEBRA MODULES[J].Chinese Annals of Mathematics,2005(1). |
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| Authors: | DONG Zhe |
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| Institution: | DONG Zhe Department of Mathematics,Zhejiang University,Hangzhou 310027,China. |
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| Abstract: | Suppose that N is admissible and U is a weakly closed Alg(N)-module. It is shown that there exist unitary operators in U if and only if I- = I and for any N > 0, N- > 0. |
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| Keywords: | Unitary operator Nest algebra module Admissible |
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