A note on Tauberian operators.
Araujo, Jesús, Martinez-Maurica, J. (1990)
International Journal of Mathematics and Mathematical Sciences
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Araujo, Jesús, Martinez-Maurica, J. (1990)
International Journal of Mathematics and Mathematical Sciences
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Beatriz Hernando (1990)
Extracta Mathematicae
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Manuel González Ruiz, Víctor M. Onieva Aleixandre (1988)
Extracta Mathematicae
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Manuel González Ruiz, Víctor M. Onieva Aleixandre (1988)
Extracta Mathematicae
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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.
Manuel González, Antonio Martinón (1990)
Extracta Mathematicae
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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.
Manuel González, Antonio Martinón (1991)
Extracta Mathematicae
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Several operational quantities, defined in terms of the norm and the class of finite dimensional Banach spaces, have been used to characterize the classes of upper and lower semi-Fredholm operators, strictly singular and strictly cosingular operators, and to derive some perturbation results. In this paper we shall introduce and study some operational quantities derived from the norm and associated to a space ideal. By means of these quantities we construct a generalized...
Teresa Alvarez, Manuel González Ortiz (1989)
Extracta Mathematicae
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