Invariant means on bounded vector-valued functions Dedicated to the late Respectable Professor Sen-Yen Shaw

Yuan-Chuan LI

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Invariant means on bounded vector-valued functions Dedicated to the late Respectable Professor Sen-Yen Shaw

机译：有界向量值函数的不变均值献给已故著名的邵森教授

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摘要

Shioji and Takahashi proved that for every bounded sequence {a_n}∞=0 of real numbers, {φ({a_n}∞=0) |φis a Banach limit} =∞/∩/j=1co{(n + l)~(-1)n/Σ/k=0ak+m |n≥j,m≥0} We generalize this result to bounded sequences of vectors and also apply it to bounded measurable functions.

机译：Shioji和Takahashi证明，对于实数的每个有界序列{a_n}∞/ n = 0，{φ（{a_n}∞/ n = 0）|φ是Banach极限} =∞/∩/ j = 1co {（n + l）〜（-1）n /Σ/ k = 0ak + m |n≥j，m≥0}我们将此结果推广到向量的有界序列，并将其应用于有界的可测函数。

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来源
《Journal of the Mathematical Society of Japan》 |2011年第3期|p.819-836|共18页
作者
Yuan-Chuan LI;
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作者单位

Department of Applied Mathematics National Chung-Hsing University Taichung, 402 Taiwan;

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收录信息美国《科学引文索引》(SCI);
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正文语种 eng
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Invariant means on bounded vector-valued functions Dedicated to the late Respectable Professor Sen-Yen Shaw

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