×

Properties and applications of Tauberian operators. (English) Zbl 0748.47001

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.

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
PDFBibTeX XMLCite
Full Text: EuDML