Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). (Q1425152)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). |
scientific article |
Statements
Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). (English)
0 references
15 March 2004
0 references
The author proves an extension theorem for matrices with entries in \(H^\infty(U)\) where \(U\) is a certain Riemann surface. One of the main components of the proof is a Grauert-type theorem for holomorphic vector bundles defined on maximal ideal spaces of some Banach algebras.
0 references
Banach algebra
0 references
cohomology
0 references
Corona problem
0 references
Grauert-type theorem
0 references
holomorphic vector bundle
0 references
Riemann surface
0 references
Stein manifold
0 references
0 references
