Hilbert空间等价类的万有右稳定性 |
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引用本文: | 卫倩,夏红川. Hilbert空间等价类的万有右稳定性[J]. 信阳师范学院学报(自然科学版), 2018, 0(2): 186-190 |
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作者姓名: | 卫倩 夏红川 |
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作者单位: | 信阳师范学院数学与统计学院 |
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摘 要: | 研究了Hilbert空间等价类的万有右稳定性,得到如下结果:若Banach空间Y同构于一Hilbert空间,则Y是万有右稳定的当且仅当对于任意的可分Banach空间X,Banach空间对(X,Y)是稳定的.
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关 键 词: | ε-等距 万有右稳定性 Hilbert空间. |
The Universal Right-Stability of the Equivalent Class of Hilbert Spaces |
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Affiliation: | ,College of Mathematics and Statistics,Xinyang Normal University |
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Abstract: | The universal right-stability of the equivalent class of Hilbert spaces was considered,it was proved that:if a Banach space Y is isomorphic to a Hilbert space,then Y is universally right-stable if and only if( X,Y) is stable for any given separable Banach space X. |
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Keywords: | ε-isometry universal right-stability Hilbert space |
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