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Rosenthal and semi-Tauberian linear relations in normed spaces

Teresa Álvarez, Antonio Martínez-Abejón (2005)

Bollettino dell'Unione Matematica Italiana

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...

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