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A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.

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Array-determined operator ideals

For a Banach space $X$, we, of course, know what it means for a sequence to be weakly null (to converge to zero in the weak topology). An array in the Banach space $X$ is a sequence of sequences, $(x_ …
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