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ArticleOriginal scientific text

Title

Centralizers for subsets of normed algebras

Authors 1

Affiliations

  1. Department of Mathematics, Pennsylvania State University, University Park, PA 16802, U.S.A.

Abstract

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 ⊃{∥cxc-1∥:c∈H}=∞. In that case the set of x ∈ A for which the sup is finite is the centralizer of H.

Bibliography

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Studia Mathematica
2000/142/1
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Pages:
1-6
Main language of publication
English
Received
1998-12-07
Accepted
2000-04-26
Published
2000
Exact and natural sciences