A converse to the Oka principle over certain complex Banach manifolds

DOI10.1016/j.bulsci.2008.10.004zbMath1190.32014OpenAlexW2016503673MaRDI QIDQ837535

Imre Patyi

Publication date: 20 August 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.10.004

zbMATH Keywords

pseudoconvex domainsOka principlecomplex Banach manifoldsholomorphic Banach vector bundles

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Stein manifolds (32Q28) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (1)

Open sets which satisfy the Oka-grauert principle in a Stein space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vanishing cohomology for holomorphic vector bundles in a Banach setting
• On holomorphic Banach vector bundles over Banach spaces
• An embedding theorem for pseudoconvex domains in Banach spaces
• Equivalence of Steinness and Validity of Oka's principle for subdomains fo Stein manifolds
• CHARAKTERISIERUNG DER STEINSCHEN TEILGEBIETEN DURCH OKASCHES PRINZIP IN ZWEI-DIMENSIONALER STEINSCHER MANNIGFALTIGKEIT
• EQUIVALENCE OF STEINNESS AND VALIDITY OF OKA'S PRINCIPLE FOR SUBDOMAINS WITH CONTINUOUS BOUNDARIES OF A STEIN MANIFOLD
• Plurisubharmonic domination
• Analytic sheaves in Banach spaces☆
• The Dolbeault complex in infinite dimensions. III: Sheaf cohomology in Banach spaces

This page was built for publication: A converse to the Oka principle over certain complex Banach manifolds