 Banach-Saks property (source code)

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= Banach-Saks property
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A <Banach space> has the Banach-Saks property if every bounded <sequence> contains a <subsequence> whose arithmetic averages converge in <norm>. The weak Banach-Saks property requires this only for weakly convergent sequences. The <weak Banach–Saks theorem in a Hilbert space> establishes that weak version in <Hilbert spaces>.

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