On the delbar-equation in a Banach space

Simple item page
dc.creatorPatyi, Imre
dc.date1999-11-08
dc.date.accessioned2026-07-07T05:31:29Z
dc.date.available2026-07-07T05:31:29Z
dc.descriptionWe 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.
dc.description13 pages, AmS-TeX, to appear in Bull. Soc. Math. France
dc.identifierhttps://arxiv.org/abs/math/9911045
dc.identifierhttp://arxiv.org/abs/math/9911045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79360
dc.subjectComplex Variables
dc.subject58B12, 32C10, 32L20, 32F20, 46G20
dc.titleOn the delbar-equation in a Banach space
dc.typetext

Files

Collections

arXiv