Envelopes of open sets and extending holomorphic functions on dual Banach spaces

Mathematics – Functional Analysis

Scientific paper

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20 pages

Scientific paper

10.1016/j.jmaa.2009.09.051

We investigate certain envelopes of open sets in dual Banach spaces which are
related to extending holomorphic functions. We give a variety of examples of
absolutely convex sets showing that the extension is in many cases not
possible. We also establish connections to the study of iterated weak*
sequential closures of convex sets in the dual of separable spaces.

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