Jiří Čížek, Jiří Jelínek (1996)
Commentationes Mathematicae Universitatis Carolinae
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The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.
Teresa Alvarez, Manuel González Ortiz (1989)
Extracta Mathematicae
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Manuel González, Antonio Martínez-Abejón (1995)
Extracta Mathematicae
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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...
Yanetz, Sh. (1999)
Georgian Mathematical Journal
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Grishin, A.F., Poedintseva, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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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 (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.