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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, 31(2): 186-190. DOI: 10.3969/j.issn.1003-0972.2018.02.004
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, 31(2): 186-190. DOI: 10.3969/j.issn.1003-0972.2018.02.004
shu
WEI Qian, XIA Hongchuan. The Universal Right-Stability of the Equivalent Class of Hilbert Spaces[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(2): 186-190. DOI: 10.3969/j.issn.1003-0972.2018.02.004
Citation: WEI Qian, XIA Hongchuan. The Universal Right-Stability of the Equivalent Class of Hilbert Spaces[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(2): 186-190. DOI: 10.3969/j.issn.1003-0972.2018.02.004
shu

Hilbert空间等价类的万有右稳定性

The Universal Right-Stability of the Equivalent Class of Hilbert Spaces

    摘要
  • 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.

     

    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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