An analytic Koszul complex in a Banach space
| dc.creator | Patyi, Imre | |
| dc.date | 2005-09-23 | |
| dc.date.accessioned | 2026-07-07T06:18:51Z | |
| dc.date.available | 2026-07-07T06:18:51Z | |
| dc.description | We show that the holomorphic ideal sheaf of a linear section of a pseudoconvex open subset $Ω$ of, say, a Hilbert space $X=\ell_2$ is acyclic. We also prove an analog of Hefer's lemma, i.e., if $f:Ω\timesΩ\to\CC$ is holomorphic and $f(x,x)=0$ for $x\inΩ$, then there is a holomorphic $g:Ω\timesΩ\to X^*$ with values in the dual space $X^*$ of $X$ such that $f(x,y)=g(x,y)(x-y)$ | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509556 | |
| dc.identifier | http://arxiv.org/abs/math/0509556 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94875 | |
| dc.subject | Complex Variables | |
| dc.subject | 32L20 | |
| dc.title | An analytic Koszul complex in a Banach space | |
| dc.type | text |