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...