Embedding polydisk algebras into the disk algebra and an application to stable ranks

DOI10.4064/AP112-3-1zbMath1328.46041arXiv1407.4022OpenAlexW2316725746MaRDI QIDQ2925541

Raymond Mortini

Publication date: 16 October 2014

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4022

zbMATH Keywords

topological stable rankbass stable rankpolydisk algebrainfinite polydisksubalgebras of the disk algebra

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) Algebraic properties of function spaces in general topology (54C40) Algebras of holomorphic functions of several complex variables (32A38)

Cites Work

• Bass and topological stable ranks of complex and real algebras of measures, functions and sequences
• The Bass and topological stable ranks for algebras of almost periodic functions on the real line
• Stable Rank of the Disc Algebra
• Dense Morphisms in Commutative Banach Algebras
• Another Proof that Any Compact Metric Space is the Continuous Image of the Cantor Set
• An example of a subalgebra of $H^{∞}$ on the unit disk whose stable rank is not finite
• On the denseness of the invertible group in Banach algebras

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