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

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

2009-05-15

arxiv.org/abs/0905.2531v1

J. Math. Anal. Appl. 363 (2010), no. 2, 663-678

Mathematics

Functional Analysis

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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