Nil, nilpotent and PI-algebras

Vladimír Müller

Banach Center Publications (1994)

  • Volume: 30, Issue: 1, page 259-265
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Müller, Vladimír. "Nil, nilpotent and PI-algebras." Banach Center Publications 30.1 (1994): 259-265. <http://eudml.org/doc/262845>.

@article{Müller1994,
abstract = { 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. },
author = {Müller, Vladimír},
journal = {Banach Center Publications},
keywords = {polynomial identity; Gelfand theory of Banach PI-algebras; Banach nil, nilpotent and PI-algebras},
language = {eng},
number = {1},
pages = {259-265},
title = {Nil, nilpotent and PI-algebras},
url = {http://eudml.org/doc/262845},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Müller, Vladimír
TI - Nil, nilpotent and PI-algebras
JO - Banach Center Publications
PY - 1994
VL - 30
IS - 1
SP - 259
EP - 265
AB - 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.
LA - eng
KW - polynomial identity; Gelfand theory of Banach PI-algebras; Banach nil, nilpotent and PI-algebras
UR - http://eudml.org/doc/262845
ER -

References

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