Geodesic
Centralizers for subsets of normed algebras
Studia Mathematica, Tome 142 (2000) no. 1, pp. 1-6

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Let G be the set of invertible elements of a normed algebra A with an identity. For some but not all subsets H of G we have the following dichotomy. For x ∈ A either $cxc^{-1} = x$ for all c ∈ H or $sup {∥cxc^{-1}∥ : c ∈ H} = ∞ $. In that case the set of x ∈ A for which the sup is finite is the centralizer of H.
DOI : 10.4064/sm-142-1-1-6

Bertram Yood 1

1 
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Bertram Yood. Centralizers for subsets of normed algebras. Studia Mathematica, Tome 142 (2000) no. 1, pp. 1-6. doi: 10.4064/sm-142-1-1-6

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