We construct a non-m-convex non-commutative -algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.
@article{bwmeta1.element.bwnjournal-article-smv110i3p283bwm,
author = {W. \.Zelazko},
title = {Concerning entire functions in $B\_{0}$-algebras},
journal = {Studia Mathematica},
volume = {108},
year = {1994},
pages = {283-290},
zbl = {0803.46051},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv110i3p283bwm}
}
Żelazko, W. Concerning entire functions in $B_{0}$-algebras. Studia Mathematica, Tome 108 (1994) pp. 283-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i3p283bwm/
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