Linear maps preserving the minimum and reduced minimum moduli

We describe linear maps from a C ∗ -algebra onto another one preserving different spectral quantities such as the minimum modulus, the surjectivity modulus, and the reduced minimum modulus.

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Bibliographic Details
Published in:Journal of functional analysis 2010, Vol.258 (1), p.50-66
Main Authors: Bourhim, A., Burgos, M., Shulman, V.S.
Format: Article
Language:English
Subjects:
[formula omitted]-algebras
Linear preserver problems
Minimum modulus
Reduced minimum modulus
Surjectivity modulus
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Description
Summary:We describe linear maps from a C ∗ -algebra onto another one preserving different spectral quantities such as the minimum modulus, the surjectivity modulus, and the reduced minimum modulus.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2009.10.003