Spectrum preserving linear mappings in Banach algebras
Studia Mathematica, Tome 109 (1994) no. 1, pp. 91-100
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.
Affiliations des auteurs :
B. Aupetit 1 ; H. du T Mouton 1
@article{10_4064_sm_109_1_91_100,
author = {B. Aupetit and H. du T Mouton},
title = {Spectrum preserving linear mappings in {Banach} algebras},
journal = {Studia Mathematica},
pages = {91--100},
publisher = {mathdoc},
volume = {109},
number = {1},
year = {1994},
doi = {10.4064/sm-109-1-91-100},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-109-1-91-100/}
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TY - JOUR AU - B. Aupetit AU - H. du T Mouton TI - Spectrum preserving linear mappings in Banach algebras JO - Studia Mathematica PY - 1994 SP - 91 EP - 100 VL - 109 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-109-1-91-100/ DO - 10.4064/sm-109-1-91-100 LA - en ID - 10_4064_sm_109_1_91_100 ER -
B. Aupetit; H. du T Mouton. Spectrum preserving linear mappings in Banach algebras. Studia Mathematica, Tome 109 (1994) no. 1, pp. 91-100. doi: 10.4064/sm-109-1-91-100
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