A note on the topological stable rank of an ideal

Ji, You; Zhang, Yuan

doi:10.1090/S0002-9939-2011-10993-6

A note on the topological stable rank of an ideal
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by You Qing Ji and Yuan Hang Zhang

Proc. Amer. Math. Soc. 139 (2011), 3999-4002

DOI: https://doi.org/10.1090/S0002-9939-2011-10993-6

Published electronically: March 25, 2011

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Abstract:

We show that if $\mathfrak {J}$ is an ideal of a Banach algebra $\mathfrak {A}$, then the left (right) topological stable rank of $\mathfrak {J}$ is no greater than the left (right) topological stable rank of $\mathfrak {A}$.

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