Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
Volume 88 / 2010
Banach Center Publications 88 (2010), 315-321
MSC: Primary 46E10; Secondary 32C05, 46A63, 46M20.
DOI: 10.4064/bc88-0-25
Abstract
The structure of the section space of a real analytic vector bundle on a real analytic manifold $X$ is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.
