On the delbar-equation in a Banach space
Complex Variables
2007-05-23 v1
Abstract
We show that on the unit ball of a certain separable Banach space there is a smooth delbar-closed (0,1)-form which is not locally delbar-exact. Further, the Dolbeault isomorphism theorem does not generalize to arbitrary Banach spaces. Lastly, the Newlander-Nirenberg theorem does not generalize to arbitrary smooth integrable almost complex Banach manifolds.
Cite
@article{arxiv.math/9911045,
title = {On the delbar-equation in a Banach space},
author = {Imre Patyi},
journal= {arXiv preprint arXiv:math/9911045},
year = {2007}
}
Comments
13 pages, AmS-TeX, to appear in Bull. Soc. Math. France