This expository article deals with results surrounding the following question: Which pairs of Banach algebras A and B have the property that every unital invertibility preserving linear map from A to B is a Jordan homomorphism?
@article{bwmeta1.element.bwnjournal-article-bcpv30z1p327bwm,
author = {Sourour, A.},
title = {The Gleason-Kahane-\.Zelazko theorem and its generalizations},
journal = {Banach Center Publications},
volume = {29},
year = {1994},
pages = {327-331},
zbl = {0813.47044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p327bwm}
}
Sourour, A. The Gleason-Kahane-Żelazko theorem and its generalizations. Banach Center Publications, Tome 29 (1994) pp. 327-331. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p327bwm/
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