A Lifting Result for Locally Pseudo-Convex
Subspaces of $L_0$
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, p. 231–236
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is shown that if $F$ is a topological vector space
containing a complete, locally pseudo-convex subspace $E$
such that $F//E=L_0$ then $E$ is complemented in $F$
and so $F=E\oplus L_0$. This generalizes results
by Kalton and Peck and Faber.
Keywords:
shown topological vector space containing complete locally pseudo convex subspace complemented oplus generalizes results kalton peck faber
Affiliations des auteurs :
Félix Cabello Sánchez 1
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author = {F\'elix Cabello S\'anchez},
title = {A {Lifting} {Result} for {Locally} {Pseudo-Convex
Subspaces} of $L_0$},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {231–236--231–236},
publisher = {mathdoc},
volume = {54},
number = {3},
year = {2006},
doi = {10.4064/ba54-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba54-3-5/}
}
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Félix Cabello Sánchez. A Lifting Result for Locally Pseudo-Convex Subspaces of $L_0$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, p. 231–236. doi: 10.4064/ba54-3-5
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