An example of a subalgebra of $H^{∞}$ on the unit disk whose stable rank is not finite

DOI10.4064/sm-103-3-275-281zbMath0813.46041OpenAlexW880879620MaRDI QIDQ4319998

Raymond Mortini

Publication date: 18 May 1995

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/215950

zbMATH Keywords

subalgebra with infinite stable rank in the algebra of all bounded analytic functions in the unit disk

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Stable range conditions (19B10)

Related Items (7)

Stabilization in \(H_{\mathbb R}^\infty (\mathbb D)\) ⋮ Embedding polydisk algebras into the disk algebra and an application to stable ranks ⋮ Bass and topological stable ranks of complex and real algebras of measures, functions and sequences ⋮ Reducibility of invertible tuples to the principal component in commutative Banach algebras ⋮ Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings ⋮ The Bass stable rank for the real Banach algebra \(A(K)_{\text{sym}}\) ⋮ The Bass and topological stable ranks for algebras of almost periodic functions on the real line

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