Matricial topological ranks for two algebras of bounded holomorphic functions

DOI10.1080/03081080902945151zbMath1211.46060OpenAlexW1968664558MaRDI QIDQ3589208

Rudolf Rupp, Raymond Mortini, Amol J. Sasane

Publication date: 20 September 2010

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080902945151

zbMATH Keywords

bounded analytic functionsmatricial topological rank for normed rings

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05)

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Cites Work

• On the density of stabilizable plants in the class of unstabilizable plants: the real symmetric disk algebra case
• A stabilization theorem for Banach algebras
• The stable rank of the algebra \(H^ \infty\) equals 1
• Stable rank of rings and dimensionality of topological spaces
• Finitely generated ideals in certain algebras of transfer functions for infinite-dimensional systems
• Trivial Gleason parts and the topological stable rank of H infinity
• Two classes of explicit solutions of the carleman model

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