Envelopes of open sets and extending holomorphic functions on dual Banach spaces
Functional Analysis
2010-05-10 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.0905.2531,
title = {Envelopes of open sets and extending holomorphic functions on dual Banach spaces},
author = {D. Garcia and O. F. K. Kalenda and M. Maestre},
journal= {arXiv preprint arXiv:0905.2531},
year = {2010}
}
Comments
20 pages