Spectrally isometric elementary operators
Volume 236 / 2017
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.