Maps completely preserving spectral functions. (English) Zbl 1230.47066
The authors in this paper study the problem: what maps between two operator algebras do preserve spectral functions? They prove that surjective maps which completely preserve certain spectral functions are isomorphisms.
Reviewer: Roshdi Khalil (Amman)
MSC:
| 47B49 | Transformers, preservers (linear operators on spaces of linear operators) |
| 47A12 | Numerical range, numerical radius |
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