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Spectrally isometric elementary operators

Volume 236 / 2017

Martin Mathieu, Matthew Young Studia Mathematica 236 (2017), 33-49 MSC: Primary 47B47; Secondary 46H99, 47A10, 47A65, 47B48. DOI: 10.4064/sm8538-6-2016 Published online: 7 September 2016

Abstract

We present criteria for unital elementary operators (of small length) on unital semisimple Banach algebras to be spectral isometries. The surjective ones among them turn out to be algebra automorphisms.

Authors

  • Martin MathieuPure Mathematics Research Centre
    Queen’s University Belfast
    Belfast BT7 1NN, Northern Ireland
    e-mail
  • Matthew YoungPure Mathematics Research Centre
    Queen’s University Belfast
    Belfast BT7 1NN, Northern Ireland
    e-mail

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