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{bwmeta1.element.bwnjournal-article-smv122i2p139bwm,
author = {Jorge Mujica},
title = {Spaces of holomorphic mappings on Banach spaces with a Schauder basis},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {139-151},
zbl = {0898.46034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv122i2p139bwm}
}
Mujica, Jorge. Spaces of holomorphic mappings on Banach spaces with a Schauder basis. Studia Mathematica, Tome 122 (1997) pp. 139-151. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv122i2p139bwm/
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