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ArticleOriginal scientific text

Title

Spectrum preserving linear mappings in Banach algebras

Authors 1, 2

Affiliations

  1. Département de Mathématiques et de Statistique, Université Laval, Québec, Canada, G1K 7P4
  2. Department of Mathematics, University of the Orange Free State, Bloemfontein, 9300 South Africa

Abstract

Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.

Bibliography

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Studia Mathematica
1994/109/1
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Pages:
91-100
Main language of publication
English
Received
1993-06-24
Accepted
1993-09-20
Published
1994
Exact and natural sciences