The three-space-problem for locally-m-convex algebras.

Dierolf, Susanne, and Heintz, Thomas. "The three-space-problem for locally-m-convex algebras.." RACSAM 97.2 (2003): 223-227. <http://eudml.org/doc/40971>.

@article{Dierolf2003,
abstract = {We prove that a locally convex algebra A with jointly continuous multiplication is already locally-m-convex, if A contains a two-sided ideal I such that both I and the quotient algebra A/I are locally-m-convex. An application to the behaviour of the associated locally-m-convex topology on ideals is given.},
author = {Dierolf, Susanne, Heintz, Thomas},
journal = {RACSAM},
keywords = {Algebra topológica; Algebra localmente convexa; Ideales; three-space problem; topological algebra; locally m-convex},
language = {eng},
number = {2},
pages = {223-227},
title = {The three-space-problem for locally-m-convex algebras.},
url = {http://eudml.org/doc/40971},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Dierolf, Susanne
AU - Heintz, Thomas
TI - The three-space-problem for locally-m-convex algebras.
JO - RACSAM
PY - 2003
VL - 97
IS - 2
SP - 223
EP - 227
AB - We prove that a locally convex algebra A with jointly continuous multiplication is already locally-m-convex, if A contains a two-sided ideal I such that both I and the quotient algebra A/I are locally-m-convex. An application to the behaviour of the associated locally-m-convex topology on ideals is given.
LA - eng
KW - Algebra topológica; Algebra localmente convexa; Ideales; three-space problem; topological algebra; locally m-convex
UR - http://eudml.org/doc/40971
ER -