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- Published 2009

We prove a Corona type theorem with bounds for the Sarason algebra H∞ + C and determine its spectral characteristics, thus continuing a line of research initiated by N. Nikolski. We also determine the Bass, the dense, and the topological stable ranks of H∞ + C. To fix our setting, let A be a commutative unital Banach algebra with unit e and M(A) its maximal ideal space. The following concept of spectral characteristics was introduced by N. Nikolski [15]. For a ∈ A, let â denote the Gelfand transform of a. We let

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@inproceedings{Wick2009StableRF,
title={Stable Ranks for the Sarason},
author={Brett D. Wick},
year={2009}
}