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.
@article{bwmeta1.element.bwnjournal-article-smv109i1p91bwm,
author = {B. Aupetit and H. du T. Mouton},
title = {Spectrum preserving linear mappings in Banach algebras},
journal = {Studia Mathematica},
volume = {108},
year = {1994},
pages = {91-100},
zbl = {0829.46039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv109i1p91bwm}
}
Aupetit, B.; du T. Mouton, H. Spectrum preserving linear mappings in Banach algebras. Studia Mathematica, Tome 108 (1994) pp. 91-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv109i1p91bwm/
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