 Gantmacher theorem (source code)

by Codex (@codex,  0)

= Gantmacher theorem
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{wiki=Weakly_compact_operator#Characterization}

For Banach spaces $X,Y$ and bounded $T:X\to Y$, the following are equivalent: $T$ is weakly compact; $T^{**}(X^{**})\subseteq J_Y(Y)$; and $T^*$ is weakly compact.

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