江慎铭. Z-空间上的有界线性泛函的性质[J]. 南昌航空大学学报(自然科学版), 2010, 24(2): 60-62.
引用本文: 江慎铭. Z-空间上的有界线性泛函的性质[J]. 南昌航空大学学报(自然科学版), 2010, 24(2): 60-62.
JIANG Shen-ming. Bounded Linear Function’s Quality on Z-Spaces[J]. Journal of nanchang hangkong university(Natural science edition), 2010, 24(2): 60-62.
Citation: JIANG Shen-ming. Bounded Linear Function’s Quality on Z-Spaces[J]. Journal of nanchang hangkong university(Natural science edition), 2010, 24(2): 60-62.

Z-空间上的有界线性泛函的性质

Bounded Linear Function’s Quality on Z-Spaces

  • 摘要: 文章在次范整线性空间中利用Hahn-Banach扩张定理给出泛函存在定理,分隔性定理,这些定理推广赋范线性空间的泛函存在定理、分隔性定理.

     

    Abstract: In this paper,existence theorem and separation theorem of bounded linear function are gained in Z-space by applying Hahn-Banach extension theorem,existence theorem and separation theorem of normed linear space are generalized.

     

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