𝔖 Bobbio Scriptorium
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Real stable ranks

✍ Scribed by Gustavo Corach; Fernando Daniel Suárez

Book ID
104796258
Publisher
Springer
Year
1990
Tongue
English
Weight
742 KB
Volume
4
Category
Article
ISSN
0920-3036

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📜 SIMILAR VOLUMES

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## Abstract Let __A__~ℝ~(𝔻) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~ℝ~(𝔻) has Bass and topological stable ranks equal to 2, which settles the conjecture made by Brett Wick in [18]. We also give a necessary and sufficient conditi

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In this paper, we estimate the stable ranks of a Banach algebra in terms of the stable ranks of its quotient algebra and ideal under the assumption that the quotient map splits. As an application, several results about the Bass and the connected stable ranks of nest algebras are obtained.