杨泽恒, 付尚朴, 左国超. 一类空间中高阶微分的性质[J]. 云南大学学报(自然科学版), 2002, 24(4): 245-248.
引用本文: 杨泽恒, 付尚朴, 左国超. 一类空间中高阶微分的性质[J]. 云南大学学报(自然科学版), 2002, 24(4): 245-248.
YANG Ze-heng, FU Shang-pu, ZUO Guo-chao. The properties of higher-order derivative in a class of Banach spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(4): 245-248.
Citation: YANG Ze-heng, FU Shang-pu, ZUO Guo-chao. The properties of higher-order derivative in a class of Banach spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(4): 245-248.

一类空间中高阶微分的性质

The properties of higher-order derivative in a class of Banach spaces

  • 摘要: 对具有Schauder基的无穷维Banach空间上的映射定义高阶偏导数,讨论其高阶微分与高阶偏导数的关系,并讨论映射的像所在空间为具有Schauder基的无穷维Banach空间时,这一映射与其坐标映射在高阶可微方面的关系.

     

    Abstract: Partial derivative is defined for a map ƒ in Banach space with schauder base.Then the relationship between higher-order differentiable property of ƒ and existence of higer-order partial derivative of ƒ is discussed.Also the relationship between ƒ and its coordinate functions ƒi about higher-order differential is analyzed when the image space with schauder base.

     

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