| 完备左(右)Hilbert代数 |
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| 引用本文： | 颉火安.完备左(右)Hilbert代数[J].华东师范大学学报(自然科学版),1991(4). |
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| 作者姓名： | 颉火安 |
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| 作者单位： | 华东师范大学数学系 |
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| 摘 要： | 在这篇文章中,将给出完备左(右)Hilbert代数及其上的左(右)Von Neumann代数的某些性质.其主要结论是:完备左(右)Hilbert代数中左(右)闭理想都含有极小幂等自共轭元,并且其上的左(右)Von Neumann代数可由极小投影生成.
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| 关 键 词： | 左(右)Hilbert代数 Von Neumann代数 极小投影 极小幂等自共轭元 左(右)闭理想 |
Oh Complete left (Right) Hilbert Algebra |
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| XIB HUOAN.Oh Complete left (Right) Hilbert Algebra[J].Journal of East China Normal University(Natural Science),1991(4). |
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| Authors: | XIB HUOAN |
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| Institution: | Department of Mathematics |
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| Abstract: | The features of complete left (right) Hilbert algebra and its left (righr) Von Neumann algebra are given.It is proved that the left (right) closed ideal in the complete left (right) algebra contains minimal self-adjoint idempotent element and its left (right) Von Neumann algebra may be generated by minimal projections. |
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| Keywords: | left (right) Hilbert algebra Von Neumann algebra minimal projection minimal self-adjoint idempotent element left (right)closed ideal |
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