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

Susanne Dierolf; Thomas Heintz

RACSAM (2003)

- Volume: 97, Issue: 2, page 223-227
- ISSN: 1578-7303

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topDierolf, 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 -

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