A quantitative version of Krein's Theorem

By Marian J. Fabian, P. Hájek, V. Montesinos, V. Zizler. 2005

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Measures of weak noncompactness in Banach spaces (2009, methodology): “On the other hand (H) = (conv(H)) has been established in [ 8, Theorem 13 ] and [5, Theorem 3.3].”
An extension of the Krein-Smulian theorem. (2006, background): “Theorem ([7]) Let X be a Banach space and H ⊂ X a bounded subset of X.”