On the ideal structure of algebras of LMC-algebra valued functions
Studia Mathematica, Tome 101 (1991) no. 3, pp. 311-318
Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
@article{10_4064_sm_101_3_311_318,
author = {Jorma Arhippainen},
title = {On the ideal structure of algebras of {LMC-algebra} valued functions},
journal = {Studia Mathematica},
pages = {311--318},
year = {1991},
volume = {101},
number = {3},
doi = {10.4064/sm-101-3-311-318},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-101-3-311-318/}
}
TY - JOUR AU - Jorma Arhippainen TI - On the ideal structure of algebras of LMC-algebra valued functions JO - Studia Mathematica PY - 1991 SP - 311 EP - 318 VL - 101 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-101-3-311-318/ DO - 10.4064/sm-101-3-311-318 LA - en ID - 10_4064_sm_101_3_311_318 ER -
Jorma Arhippainen. On the ideal structure of algebras of LMC-algebra valued functions. Studia Mathematica, Tome 101 (1991) no. 3, pp. 311-318. doi: 10.4064/sm-101-3-311-318
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