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Generalized stable ranks for commutative Banach algebras

✍ Scribed by Raymond Mortini


Book ID
106198843
Publisher
Springer Vienna
Year
2010
Tongue
English
Weight
205 KB
Volume
164
Category
Article
ISSN
0026-9255

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Stable ranks of split extensions of Bana
✍ You Qing Ji; Yuan Hang Zhang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 238 KB

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.