Estimates in the Carleson corona theorem, ideals of the algebra \(H^\infty\), a problem of Sz.-Nagy

DOI10.1007/BF01882580zbMath0515.46032MaRDI QIDQ1051852

V. A. Tolokonnikov

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

left inverseCorona problemspace of bounded analytic functions with values in the space of bounded linear operatorsSz.-Nagy problem

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (5)

Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem ⋮ Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra \(H^{\infty}\) ⋮ The \(H^2\)-corona problem on delta-regular domains ⋮ Spectral characteristics and stable ranks for the Sarason algebra \(H^\infty + C\) ⋮ Zero-forcing precoding for frequency selective MIMO channels with \(H^\infty \) criterion and causality constraint

Cites Work

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• A corona theorem for countably many functions
• Bounded holomorphic functions and projections
• On a generalized corona problem
• Une équivalence au corona problem dans \(C^ n\) et un problème d'idéal dans \(H^ \infty(D)\)
• On contractions similar to isometries and Toeplitz operators
• The Corona Theorem as an Operator Theorem

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