Inductive duals of distinguished frechet spaces

Bonet, José, and Dierolf, Susanne. "Inductive duals of distinguished frechet spaces." Revista de la Real Academia de Ciencias Exactas Físicas y Naturales 90.3 (1996): 175-177. <http://eudml.org/doc/42084>.

@article{Bonet1996,
abstract = {The purpose of this note is to give an example of a distinguished Fréchet space and a non-distinguished Fréchet space which have the same inductive dual. Accordingly, distinguishedness is a property which is not reflected in the inductive dual. In contrast to this example, it was known that the properties of being quasinormable or having the density condition can be characterized in terms of the inductive dual of a Fréchet space.},
author = {Bonet, José, Dierolf, Susanne},
journal = {Revista de la Real Academia de Ciencias Exactas Físicas y Naturales},
keywords = {distinguished Fréchet space; non-distinguished Fréchet space; inductive dual; quasinormable; density condition},
language = {eng},
number = {3},
pages = {175-177},
title = {Inductive duals of distinguished frechet spaces},
url = {http://eudml.org/doc/42084},
volume = {90},
year = {1996},
}

TY - JOUR
AU - Bonet, José
AU - Dierolf, Susanne
TI - Inductive duals of distinguished frechet spaces
JO - Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
PY - 1996
VL - 90
IS - 3
SP - 175
EP - 177
AB - The purpose of this note is to give an example of a distinguished Fréchet space and a non-distinguished Fréchet space which have the same inductive dual. Accordingly, distinguishedness is a property which is not reflected in the inductive dual. In contrast to this example, it was known that the properties of being quasinormable or having the density condition can be characterized in terms of the inductive dual of a Fréchet space.
LA - eng
KW - distinguished Fréchet space; non-distinguished Fréchet space; inductive dual; quasinormable; density condition
UR - http://eudml.org/doc/42084
ER -