The matrix-valued \(H^p\) Corona problem in the disk and polydisk

DOI10.1016/j.jfa.2005.04.010zbMath1076.30054arXivmath/0409494OpenAlexW2030223100WikidataQ60141968 ScholiaQ60141968MaRDI QIDQ2566079

Brett D. Wick, S. R. Treil'

Publication date: 22 September 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409494

zbMATH Keywords

Hardy spacespolydiskmatrix-valued corona theorems

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

Corona problem with data in ideal spaces of sequences ⋮ Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution ⋮ Spectral characteristics and stable ranks for the Sarason algebra \(H^\infty + C\) ⋮ Norm controlled inversions and a corona theorem for \(H^\infty \)-quotient algebras ⋮ Ideal membership in \(H^\infty \): Toeplitz corona approach ⋮ The corona problem for kernel multiplier algebras ⋮ Converse growth estimates for ODEs with slowly growing solutions ⋮ The Bezout-corona problem revisited: Wiener space setting ⋮ Analytic projections, Corona problem and geometry of holomorphic vector bundles ⋮ Some remarks to the corona theorem ⋮ Toeplitz corona and the Douglas property for free functions ⋮ Rational Matrix Solutions of a Bezout Type Equation on the Half-plane

Cites Work

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• The corona theorem for matrices
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• Best constants for the Riesz projection
• A new estimate for the vector valued corona problem
• Lower bounds in the matrix corona theorem and the codimension one conjecture
• Interpolations by bounded analytic functions and the corona problem
• The H p -Corona Theorem for the Polydisc
• The $H^2$ Corona Problem and $\overline \partial_b$ in Weakly Pseudoconvex Domains
• On the Corona Theorem and its Application to Spectral Problems in Hilbert Space

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