On Stable Rank of \mathbf H^∞ on Coverings of Finite Bordered Riemann Surfaces

2020/07/10 by Alexander Brudnyi, Brudnyi, A.
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2007.05420

Abstract

We prove that the Bass stable rank of the algebra of bounded holomorphic functions on an unbranched covering of a finite bordered Riemann surface is equal to one.

Citations

• Projective Freeness of Algebras of Bounded Holomorphic Functions on Infinitely Connected Domains

Related

• Dense Stable Rank and Runge Type Approximation Theorems for H^∞ Maps
• Corona Theorem for H^∞ on Coverings of Riemann Surfaces of Finite Type
• Projections in the Space H^∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces
• Extension of Matrices with Entries in H^∞ on Coverings of Riemann Surfaces of Finite Type
• The Bass and topological stable ranks for algebras of almost periodic functions on the real line