The notions of nil, nilpotent or PI-rings (= rings satisfying a polynomial identity) play an important role in ring theory (see e.g. [8], [11], [20]). Banach algebras with these properties have been studied considerably less and the existing results are scattered in the literature. The only exception is the work of Krupnik [13], where the Gelfand theory of Banach PI-algebras is presented. However, even this work has not get so much attention as it deserves. The present paper is an attempt to give a survey of results concerning Banach nil, nilpotent and PI-algebras. The author would like to thank to J. Zemánek for essential completion of the bibliography.
@article{bwmeta1.element.bwnjournal-article-bcpv30z1p259bwm,
author = {M\"uller, Vladim\'\i r},
title = {Nil, nilpotent and PI-algebras},
journal = {Banach Center Publications},
volume = {29},
year = {1994},
pages = {259-265},
zbl = {0818.46052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p259bwm}
}
Müller, Vladimír. Nil, nilpotent and PI-algebras. Banach Center Publications, Tome 29 (1994) pp. 259-265. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p259bwm/
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