Invariant means on bounded vector-valued functions
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概要
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Shioji and Takahashi proved that for every bounded sequence {an}n=0∞ of real numbers, { φ({an}n=0∞) | φ is a Banach limit} = ∩j=1∞$¥overline{co}$ {(n+1)-1 Σk=0n ak+m | n≥j, m≥0 }. We generalize this result to bounded sequences of vectors and also apply it to bounded measurable functions.
- 2011-07-01
著者
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Li Yuan-chuan
Department Of Applied Mathematics National Chung-hsing University
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Li Yuan-Chuan
Department of Applied Mathematics, National Chung-Hsing University
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