González, Manuel Properties and applications of Tauberian operators. (English) Zbl 0748.47001 Extr. Math. 5, No. 3, 91-107 (1990). Summary: Tauberian operators, which appeared in response to a problem in summability have found application in several situations: factorization of operators, preservation of isomorphic properties of Banach spaces, equivalence between the Radon-Nikodym property and the Krein-Milman property and generalized Fredholm operators. This paper is a survey of the main properties and applications of Tauberian operators. Cited in 2 Documents MSC: 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 46B10 Duality and reflexivity in normed linear and Banach spaces 46B22 Radon-Nikodým, Kreĭn-Milman and related properties Keywords:Tauberian operators; summability; factorization of operators; preservation of isomorphic properties of Banach spaces; Radon-Nikodym property; Krein-Milman property; generalized Fredholm operators PDFBibTeX XMLCite \textit{M. González}, Extr. Math. 5, No. 3, 91--107 (1990; Zbl 0748.47001) Full Text: EuDML