Spectral Characteristics and Stable Ranks for the Sarason Algebra $H^\infty+C$

preprint2009arXivOpen access

We prove a Corona type theorem with bounds for the Sarason algebra $H^\infty+C$ and determine its spectral characteristics. We also determine the Bass, the dense, and the topological stable ranks of $H^\infty+C$ .

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Spectral Characteristics and Stable Ranks for the Sarason Algebra $H^\infty+C$

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Spectral Characteristics and Stable Ranks for the Sarason Algebra H∞+CH^\infty+CH∞+C

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Spectral Characteristics and Stable Ranks for the Sarason Algebra $H^\infty+C$