Non-natural topologies on spaces of holomorphic functions
Annales Polonici Mathematici (2013)
- Volume: 108, Issue: 3, page 215-217
- ISSN: 0066-2216
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topDietmar Vogt. "Non-natural topologies on spaces of holomorphic functions." Annales Polonici Mathematici 108.3 (2013): 215-217. <http://eudml.org/doc/280776>.
@article{DietmarVogt2013,
abstract = {It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.},
author = {Dietmar Vogt},
journal = {Annales Polonici Mathematici},
keywords = {Fréchet topologies; spaces of holomorphic functions},
language = {eng},
number = {3},
pages = {215-217},
title = {Non-natural topologies on spaces of holomorphic functions},
url = {http://eudml.org/doc/280776},
volume = {108},
year = {2013},
}
TY - JOUR
AU - Dietmar Vogt
TI - Non-natural topologies on spaces of holomorphic functions
JO - Annales Polonici Mathematici
PY - 2013
VL - 108
IS - 3
SP - 215
EP - 217
AB - It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.
LA - eng
KW - Fréchet topologies; spaces of holomorphic functions
UR - http://eudml.org/doc/280776
ER -
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