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Displaying similar documents to “Tauberian operators on L 1 ( μ ) spaces”

Properties and applications of Tauberian operators.

Manuel González (1990)

Extracta Mathematicae

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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.

Quotients of L by reflexive subspaces.

Manuel González, Antonio Martínez-Abejón (1997)

Extracta Mathematicae

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Here we present and example and some results suggesting that there is no infinite-dimensional reflexive subspace Z of L1 ≡ L1[0,1] such that the quotient L1/Z is isomorphic to a subspace of L1.

Rosenthal and semi-Tauberian linear relations in normed spaces

Teresa Álvarez, Antonio Martínez-Abejón (2005)

Bollettino dell'Unione Matematica Italiana

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The class of Rosenthal linear relations in normed spaces is introduced and studied in terms of their first and second conjugates. We investigate the relationship between a Rosenthal linear relation and its conjugate. In this paper, we also study the semi-Tauberian linear relations following the pattern followed for the study of the Tauberian linear relations. We prove that the semi-Tauberian linear relations share some of the properties of Tauberian linear relations and they are related...

Tauberian Retrieval Theory

Časlav V. Stanojević, Vera B. Stanojević (2002)

Publications de l'Institut Mathématique

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