The corona theorem and Bass stable rank for $M(D(\sum_{i=1}^k a_i \delta_{\zeta_i}))$

Shuaibing Luo

arxiv: 1401.7053 · v1 · pith:RPSIDILCnew · submitted 2014-01-28 · 🧮 math.FA

The corona theorem and Bass stable rank for M(D(sum_(i=1)^k a_i δ_(zeta_i)))

Shuaibing Luo This is my paper

classification 🧮 math.FA

keywords basscoronadeltaproverankstabletheoremzeta

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In this paper, we prove the corona theorem for $M(D(\mu_k))$ in two different ways, where $\mu_k = \sum_{i=1}^k a_i \delta_{\zeta_i}$. Then we prove that the Bass stable rank of $M(D(\mu_k))$ is one.

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The corona theorem and Bass stable rank for M(D(sum_(i=1)^k a_i δ_(zeta_i)))

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