Lower bounds in the matrix corona theorem and the codimension one conjecture

DOI10.1007/S00039-004-0485-4zbMath1057.47014OpenAlexW1975123982WikidataQ123137341 ScholiaQ123137341MaRDI QIDQ1764302

S. R. Treil'

Publication date: 24 February 2005

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-004-0485-4

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (12)

Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\) ⋮ Reproducing kernels and Berezin symbols techniques in various questions of operator theory ⋮ Notes on the codimension one conjecture in the operator corona theorem ⋮ Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution ⋮ On the completion problem for algebra \(H^{\infty}\) ⋮ Similarity of operators and geometry of eigenvector bundles ⋮ The Bezout-corona problem revisited: Wiener space setting ⋮ Analytic projections, Corona problem and geometry of holomorphic vector bundles ⋮ Oka principle on the maximal ideal space of $\boldsymbol {H^\infty }$ ⋮ The matrix-valued \(H^p\) Corona problem in the disk and polydisk ⋮ Corona Problem for H ∞ on Riemann Surfaces ⋮ Rational Matrix Solutions of a Bezout Type Equation on the Half-plane

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