Stabilization in \(H_{\mathbb R}^\infty (\mathbb D)\)

DOI10.5565/PUBLMAT_54110_02zbMath1193.46033OpenAlexW2964298088MaRDI QIDQ845051

Brett D. Wick

Publication date: 5 February 2010

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1262962131

zbMATH Keywords

reducibilitystabilizationbounded analytic functionsBezout equationBass stable rankinhomogeneous Cauchy-Riemann differential equations

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (3)

The covering dimension of a distinguished subset of the spectrum \(M(H^\infty)\) of \(H^\infty\) and the algebra of real-symmetric and continuous functions on \(M(H^\infty)\) ⋮ On strong stabilizability of MIMO infinite-dimensional systems ⋮ Reducibility of function pairs in $H^\infty _{\mathbb R}$

Cites Work

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• On finitely generated closed ideals in \(H^{\infty}(D)\)
• Stable rank in holomorphic function algebras
• The stable rank of the algebra \(H^ \infty\) equals 1
• \(K\)-theory and stable algebra
• Interpolations by bounded analytic functions and the corona problem
• Stable Rank of the Disc Algebra
• The Bass and topological stable ranks of and
• Stable Rank of Subalgebras of the Disc Algebra
• An example of a subalgebra of $H^{∞}$ on the unit disk whose stable rank is not finite

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