A Grauert Type Theorem and Extension of Matrices with Entries in H^{\infty}

dc.creatorBrudnyi, Alex
dc.date2001-12-15
dc.date.accessioned2026-07-07T04:45:16Z
dc.date.available2026-07-07T04:45:16Z
dc.descriptionIn the paper we prove an extension theorem for matrices with entries in H^{\infty}(U) for U being a Riemann surface of a special type. One of the main components of the proof is a Grauert type theorem for "holomorphic" vector bundles defined over maximal ideal spaces of certain Banach algebras. The proof is also based on the results of A.Brudnyi "Projections in the Space H^{\infty} and the Corona Theorem for Coverings of Bordered Riemann Surfaces" (see my previous submissions here).
dc.identifierhttps://arxiv.org/abs/math/0112151
dc.identifierhttp://arxiv.org/abs/math/0112151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62894
dc.subjectComplex Variables
dc.subject30D15;32F05
dc.titleA Grauert Type Theorem and Extension of Matrices with Entries in H^{\infty}
dc.typetext

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