Commutativity criterions in locally m-convex algebras.

Aida Toma

Extracta Mathematicae (2003)

  • Volume: 18, Issue: 1, page 81-89
  • ISSN: 0213-8743

Abstract

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In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.

How to cite

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Toma, Aida. "Commutativity criterions in locally m-convex algebras.." Extracta Mathematicae 18.1 (2003): 81-89. <http://eudml.org/doc/38721>.

@article{Toma2003,
abstract = {In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.},
author = {Toma, Aida},
journal = {Extracta Mathematicae},
keywords = {Algebra topológica; Algebras conmutativas; Algebra localmente convexa; locally -convex algebra; commutativity; semicommutativity},
language = {eng},
number = {1},
pages = {81-89},
title = {Commutativity criterions in locally m-convex algebras.},
url = {http://eudml.org/doc/38721},
volume = {18},
year = {2003},
}

TY - JOUR
AU - Toma, Aida
TI - Commutativity criterions in locally m-convex algebras.
JO - Extracta Mathematicae
PY - 2003
VL - 18
IS - 1
SP - 81
EP - 89
AB - In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.
LA - eng
KW - Algebra topológica; Algebras conmutativas; Algebra localmente convexa; locally -convex algebra; commutativity; semicommutativity
UR - http://eudml.org/doc/38721
ER -

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