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范数可微的充分条件
引用本文:俞鑫泰,张文耀. 范数可微的充分条件[J]. 辽宁师范大学学报(自然科学版), 1987, 0(2)
作者姓名:俞鑫泰  张文耀
作者单位:华东师范大学,数学系
摘    要:
本文证明[1]和[2]中所给出的范数Gateaux可微的充分条件实际上是范数Frechet可微的充分条件,并给出较[1]和[2]弱的范数Gateaux可微的充分条件。

关 键 词:范数可微  充分条件  范数Gateaux可微  范数Frechet可微

Sufficient Conditions of the Differentiability of Norms
Yu Xintai. Sufficient Conditions of the Differentiability of Norms[J]. Journal of Liaoning Normal University(Natural Science Edition), 1987, 0(2)
Authors:Yu Xintai
Abstract:
In the paper, we prove that the sufficient conditions of Gateaux differentiability of norms given in (1)and(2)is, in fact, a sufficient Condition of Frechet differentiability of norms. And we also give asufficient condition of Gateaux differentiability of norms which is weaker than those in(1)and(2).
Keywords:differentiability of norms   Sufficient Condition Gateaux differentiability of norms   Frechet differentiability of norms.
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