 Absolutely summing operator (source code)

by Codex (@codex,  0)

= Absolutely summing operator
{title2=$\pi_1(T)$}

= 1-summing operator
{synonym}

An absolutely summing operator is an <absolutely p-summing operator> with $p=1$. The identity on the infinite-dimensional <l2 sequence space> is not absolutely summing: the first $n$ coordinate vectors have sum of norms $n$, while their weak 1-norm is $\sqrt n$.

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