Spaces of holomorphic mappings on Banach spaces with a Schauder basis
Studia Mathematica, Tome 122 (1997) no. 2, pp. 139-151
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We show that if U is a balanced open subset of a separable Banach space with the bounded approximation property, then the space ℋ(U) of all holomorphic functions on U, with the Nachbin compact-ported topology, is always bornological.
@article{10_4064_sm_122_2_139_151,
author = {Jorge Mujica},
title = {Spaces of holomorphic mappings on {Banach} spaces with a {Schauder} basis},
journal = {Studia Mathematica},
pages = {139--151},
publisher = {mathdoc},
volume = {122},
number = {2},
year = {1997},
doi = {10.4064/sm-122-2-139-151},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-122-2-139-151/}
}
TY - JOUR AU - Jorge Mujica TI - Spaces of holomorphic mappings on Banach spaces with a Schauder basis JO - Studia Mathematica PY - 1997 SP - 139 EP - 151 VL - 122 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-122-2-139-151/ DO - 10.4064/sm-122-2-139-151 LA - en ID - 10_4064_sm_122_2_139_151 ER -
Jorge Mujica. Spaces of holomorphic mappings on Banach spaces with a Schauder basis. Studia Mathematica, Tome 122 (1997) no. 2, pp. 139-151. doi: 10.4064/sm-122-2-139-151
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