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arXiv · 0905.2531

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

D. Garcia·O. F. K. Kalenda·M. Maestre
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Abstract

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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D. Garcia, O. F. K. Kalenda, M. Maestre. 2009-05-15. Envelopes of open sets and extending holomorphic functions on dual Banach spaces. https://doi.org/10.1016/j.jmaa.2009.09.051

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