A matricial corona theorem

DOI10.1090/S0002-9939-06-08172-XzbMath1134.32301OpenAlexW1582932138MaRDI QIDQ5469217

Xinjun Zhang, Tavan T. Trent

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08172-x

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (7)

A matricial corona theorem II ⋮ Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution ⋮ An estimate for the degree bound of a matrix of polynomials ⋮ An analytic approach to the degree bound in the Nullstellensatz ⋮ The Bezout-corona problem revisited: Wiener space setting ⋮ Wolff’s theorem on ideals for matrices ⋮ Rational Matrix Solutions of a Bezout Type Equation on the Half-plane

Cites Work

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• A corona theorem for countably many functions
• A new estimate for the vector valued corona problem
• A corona theorem for multipliers on Dirichlet space
• Bounded holomorphic functions and projections
• Interpolations by bounded analytic functions and the corona problem
• The Corona Property for Bounded Analytic Functions in Some Besov Spaces
• Bounded Holomorphic Functions on Finite Riemann Surfaces
• On the Corona Theorem and its Application to Spectral Problems in Hilbert Space

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