In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.
En esta nota estudiamos tres operadores que están asociados canónicamente a un operador lineal y continuo previamente prefijado entre espacios localmente convexos. Estos operadores se definen utilizando los espacios de sucesiones acotadas y de sucesiones nulas. Investigamos la relación existente entre ellos y el operador original con respecto a ciertas propiedades, como ser sobreyectivo o un homomorfismo.
@article{urn:eudml:doc:41662,
title = {Enlargements of operators between locally convex spaces.},
journal = {RACSAM},
volume = {101},
year = {2007},
pages = {45-50},
zbl = {1148.46003},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41662}
}
Conejero, José A. Enlargements of operators between locally convex spaces.. RACSAM, Tome 101 (2007) pp. 45-50. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41662/