A quantitative version of Krein's theorem.
A quantitative version of Krein's Theorem on convex hulls of weak compact sets is proved. Some applications to weakly compactly generated Banach spaces are given.
Weakly Compact Generating and Shrinking Markusevic Bases
2000 Mathematics Subject Classification: 46B30, 46B03. It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient space of Markusevic bases for such spaces. In some cases, such property is then shared by all Markusevic bases in the space.
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