Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 675-680
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Let $(A, T )$ be a locally A-pseudoconvex algebra over $\mathbb{R}$ or $\mathbb{C}$. We define a new topology $m (T)$ on $A$ which is the weakest among all m-pseudoconvex topologies on $A$ stronger than $T$. We describe a family of non-homogeneous seminorms on $A$ which defines the topology $m(T)$.
Classification :
46H05, 46H20
Keywords: locally A-pseudoconvex algebra; locally m-pseudoconvex algebra
Keywords: locally A-pseudoconvex algebra; locally m-pseudoconvex algebra
@article{CMJ_2004__54_3_a9,
author = {Abel, M. and Arhippainen, J.},
title = {Locally m-pseudoconvex topologies on locally {A-pseudoconvex} algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {675--680},
publisher = {mathdoc},
volume = {54},
number = {3},
year = {2004},
mrnumber = {2086724},
zbl = {1080.46518},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_3_a9/}
}
TY - JOUR AU - Abel, M. AU - Arhippainen, J. TI - Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras JO - Czechoslovak Mathematical Journal PY - 2004 SP - 675 EP - 680 VL - 54 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2004__54_3_a9/ LA - en ID - CMJ_2004__54_3_a9 ER -
Abel, M.; Arhippainen, J. Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 675-680. http://geodesic.mathdoc.fr/item/CMJ_2004__54_3_a9/