Vitali properties of Banach analytic manifolds
Complex Variables
2016-12-15 v2
Abstract
We discuss possible generalizations of Vitali convergence theorem when the source and the target are Banach analytic manifolds. These results are then applied to study behavior of holomorphic mappings between Banach analytic manifolds. Explicit examples of manifolds having Vitali properties are also provided.
Keywords
Cite
@article{arxiv.1610.05430,
title = {Vitali properties of Banach analytic manifolds},
author = {Nguyen Van Khue and Nguyen Quang Dieu and Nguyen Van Khiem},
journal= {arXiv preprint arXiv:1610.05430},
year = {2016}
}
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29 pages