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.
@article{10_4064_sm8538_6_2016,
author = {Martin Mathieu and Matthew Young},
title = {Spectrally isometric elementary operators},
journal = {Studia Mathematica},
pages = {33--49},
year = {2017},
volume = {236},
number = {1},
doi = {10.4064/sm8538-6-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8538-6-2016/}
}
TY - JOUR
AU - Martin Mathieu
AU - Matthew Young
TI - Spectrally isometric elementary operators
JO - Studia Mathematica
PY - 2017
SP - 33
EP - 49
VL - 236
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm8538-6-2016/
DO - 10.4064/sm8538-6-2016
LA - en
ID - 10_4064_sm8538_6_2016
ER -
%0 Journal Article
%A Martin Mathieu
%A Matthew Young
%T Spectrally isometric elementary operators
%J Studia Mathematica
%D 2017
%P 33-49
%V 236
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm8538-6-2016/
%R 10.4064/sm8538-6-2016
%G en
%F 10_4064_sm8538_6_2016
Martin Mathieu; Matthew Young. Spectrally isometric elementary operators. Studia Mathematica, Tome 236 (2017) no. 1, pp. 33-49. doi: 10.4064/sm8538-6-2016