Geodesic
Rosenthal and semi-Tauberian linear relations in normed spaces
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 707-722

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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 to Rosenthal linear relations in the same way as Tauberian linear relations are related to weakly compact linear relations. We describe examples and investigate special cases: in particular, $F_{+}$ and strictly singular linear relations. 
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     author = {\'Alvarez, Teresa and Mart{\'\i}nez-Abej\'on, Antonio},
     title = {Rosenthal and {semi-Tauberian} linear relations in normed spaces},
     journal = {Bollettino della Unione matematica italiana},
     pages = {707--722},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {3},
     year = {2005},
     zbl = {1179.47019},
     mrnumber = {MR2182425},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a11/}
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Álvarez, Teresa; Martínez-Abejón, Antonio. Rosenthal and semi-Tauberian linear relations in normed spaces. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 707-722. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a11/