Tauberian operators, which appeared in response to a problem in summability [GaW, KW] have found application in several situations: factorization of operators [DFJP], preservation of isomorphic properties of Banach spaces [N, NR], equivalence between the Radon-Nikodym property and the Krein-Milman property [Sch], and generalized Fredholm operators [Ta, Y].
This paper is a survey of the main properties and applications of Tauberian operators.
@article{urn:eudml:doc:39881,
title = {Properties and applications of Tauberian operators.},
journal = {Extracta Mathematicae},
volume = {5},
year = {1990},
pages = {91-107},
zbl = {0748.47001},
mrnumber = {MR1125675},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39881}
}
González, Manuel. Properties and applications of Tauberian operators.. Extracta Mathematicae, Tome 5 (1990) pp. 91-107. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39881/