The Bass stable rank for the real Banach algebra \(A(K)_{\text{sym}}\)

DOI10.1016/j.jfa.2011.06.007zbMath1241.46032OpenAlexW2150815916MaRDI QIDQ719489

Rudolf Rupp, Raymond Mortini

Publication date: 10 October 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.06.007

zbMATH Keywords

Bass stable rankreal Banach algebracompact planar setextension to an invertible functioninvertible pairreducible pairsymmetric planar set

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (K)-theory and operator algebras (including cyclic theory) (46L80) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items

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 \(M(H^\infty)\) ⋮ Reducibility of invertible tuples to the principal component in commutative Banach algebras ⋮ Corona-Type Theorems and Division in Some Function Algebras on Planar Domains

Cites Work

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• A note on some uniform algebra generated by smooth functions in the plane
• Extension problems and stable rank in commutative Banach algebras
• Stable rank in holomorphic function algebras
• Stable rank and boundary principle
• The stable rank of the algebra \(H^ \infty\) equals 1
• Zerofree extension of continuous functions on compact Hausdorff space
• Stable rank of finitely generated algebras
• Spectral characteristics and stable ranks for the Sarason algebra \(H^\infty + C\)
• Bass and topological stable ranks of complex and real algebras of measures, functions and sequences
• Stable rank of rings and dimensionality of topological spaces
• \(K\)-theory and stable algebra
• On the Stable Range of Uniform Algebras and H ∞
• Stable Rank of the Disc Algebra
• Approximation by invertible elements and the generalized $E$-stable rank for $A({\boldsymbol D})_{\mathsf R}$ and $C({\boldsymbol D})_{\mathrm{sym}}$
• The Bass and topological stable ranks of and
• Stable Rank of Subalgebras of the Disc Algebra
• Reducibility in A_ℝ(K), C_ℝ(K), and A(K)
• On the stable rank and reducibility in algebras of real symmetric functions
• A note about stabilization in A _ℝ (𝔻)
• Dense Morphisms in Commutative Banach Algebras
• Uniform Approximation by Holomorphic and Harmonic Functions
• An example of a subalgebra of $H^{∞}$ on the unit disk whose stable rank is not finite