| 酉自伴算子 |
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| 引用本文： | 袁久银.酉自伴算子[J].湖北民族学院学报(哲学社会科学版),1997,15(3):29-33. |
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| 作者姓名： | 袁久银 |
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| 作者单位： | 湖北民族学院计算机与数学系!恩施，445000 |
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| 摘 要： | 受Dieudonne拟自伴算子的启发而引入了酉自伴算子，主要讨论了酉自伴算子的性质，经了某些特珠算子为酉自伴算子的充分必要条件，另外证明了任何有界线性算子可分解为酉自伴算子和完全非本自伴算子的直和，最后讨论了酉自伴 子的不变子空间问题。
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| 关 键 词： | 不变子空间 酉自伴算子 拟自伴算子 Hilbert空间 有界线性算子 共轭算子 |
UNITARY SELF-ADJOINT OPERATORS |
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| Yuan Jiuyin.UNITARY SELF-ADJOINT OPERATORS[J].Journal of Hubei Institute for Nationalities(Natural Sciences),1997,15(3):29-33. |
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| Authors: | Yuan Jiuyin |
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| Abstract: | In light of Dieudonne's quasitrianglar operators,the major properties of unitary self-adjoint operators are discussed in this paper. On this basis,We obtain the sufficient and necessary conditions for some special operators to be unitary self-adjoint operators and prove that any bounded linear operatorcan be decomposed into direct sums of Unitary Self-adjoint operators and non-unitary self-adjoint operators. The question of the invariant subspace of unitary self-adjoint operators are finally discussed s well. |
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| Keywords: | unitary self-adjoint spetrum invariant subspace |
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