Derivations on Jordan-Banach algebras

A. Villena

Studia Mathematica (1996)

  • Volume: 118, Issue: 3, page 205-229
  • ISSN: 0039-3223

Abstract

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We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.

How to cite

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Villena, A.. "Derivations on Jordan-Banach algebras." Studia Mathematica 118.3 (1996): 205-229. <http://eudml.org/doc/216274>.

@article{Villena1996,
abstract = {We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.},
author = {Villena, A.},
journal = {Studia Mathematica},
keywords = {derivations; semisimple Jordan-Banach algebra; automatically continuous; primitive ideals; primitive Jordan-Banach algebras},
language = {eng},
number = {3},
pages = {205-229},
title = {Derivations on Jordan-Banach algebras},
url = {http://eudml.org/doc/216274},
volume = {118},
year = {1996},
}

TY - JOUR
AU - Villena, A.
TI - Derivations on Jordan-Banach algebras
JO - Studia Mathematica
PY - 1996
VL - 118
IS - 3
SP - 205
EP - 229
AB - We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.
LA - eng
KW - derivations; semisimple Jordan-Banach algebra; automatically continuous; primitive ideals; primitive Jordan-Banach algebras
UR - http://eudml.org/doc/216274
ER -

References

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