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On the delbar-equation in a Banach space | | Imre Patyi
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8 Nov 1999 | | Subject: | Complex Variables MSC-class: 58B12, 32C10, 32L20, 32F20, 46G20 | math.CV | | 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. | | Source: | arXiv, math.CV/9911045 | | Services: | Forum | Review | PDF | Favorites | |
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