Stable rank in holomorphic function algebras

zbMath0606.46034MaRDI QIDQ1084629

Fernando Daniel Suárez, Gustavo Corach

Publication date: 1985

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

stable rankholomorphic function algebras

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

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Stabilization in \(H_{\mathbb R}^\infty (\mathbb D)\) ⋮ Stable Rank of Subalgebras of the Ball Algebras ⋮ Thin spectra and stable range conditions ⋮ Real-symmetric extensions of invertible tuples of multivariable continuous functions ⋮ 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 \(M(H^\infty)\) ⋮ A note on some uniform algebra generated by smooth functions in the plane ⋮ Spectral characteristics and stable ranks for the Sarason algebra \(H^\infty + C\) ⋮ Generalized stable ranks for commutative Banach algebras ⋮ On the bass stable rank of Stein algebras ⋮ Continuous selections and stable rank of Banach algebras ⋮ Stable rank and boundary principle ⋮ On the factorization of matrices over commutative Banach algebras ⋮ Reducibility of invertible tuples to the principal component in commutative Banach algebras ⋮ The stable rank of the algebra \(H^ \infty\) equals 1 ⋮ On the stable rank and reducibility in algebras of real symmetric functions ⋮ Homotopical stable ranks for Banach algebras ⋮ Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings ⋮ Banach function algebras with dense invertible group ⋮ The Bass stable rank for the real Banach algebra \(A(K)_{\text{sym}}\) ⋮ Stable Rank of Subalgebras of the Disc Algebra ⋮ Dense Morphisms in Commutative Banach Algebras ⋮ Factorization of symplectic matrices into elementary factors ⋮ A note about stabilization in A _ℝ (𝔻) ⋮ The Bass and topological stable ranks for algebras of almost periodic functions on the real line. II ⋮ On exponential factorizations of matrices over Banach algebras ⋮ Stable rank of finitely generated algebras ⋮ Reducibility of function pairs in $H^\infty _{\mathbb R}$ ⋮ On holomorphic matrices on bordered Riemann surfaces ⋮ On the multiplicity of T\(\oplus T\oplus \cdot \cdot \cdot \oplus T\)

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