Analytic cohomology vanishing in infinite dimensions

Imre Patyi, Purdue University

Abstract

We show that the sheaf cohomology groups Hq (Ω, [special characters omitted]) vanish for q ≥ 1, where [special characters omitted] is the sheaf of germs of holomorphic sections of a holomorphic line bundle over a pseudoconvex open set Ω in a Banach space with a countable unconditional basis.

Degree

Ph.D.

Advisors

Lempert, Purdue University.

Subject Area

Mathematics

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