{wiki=Reflexive_space}

A Banach space $X$ is reflexive when its canonical embedding $J_X:X\to X^{**}$ is surjective. Equivalently, its closed unit ball is <weakly compact set>[weakly compact].


Reflexive Banach space

{wiki=Weakly_compact_cardinal#Weak_compactness_in_functional_analysis}

A subset of a Banach space is weakly compact when it is compact in the <weak topology>; it is relatively weakly compact when its weak closure is weakly compact.

= Relatively weakly compact set
{synonym}


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 Incoming links: Weakly compact set