Álvarez, Martínez-Abejón: Rosenthal and semi-Tauberian linear relations in normed spaces

Álvarez, Teresa and Martínez-Abejón, Antonio:
Rosenthal and semi-Tauberian linear relations in normed spaces
Bollettino dell'Unione Matematica Italiana Serie 8 8-B (2005), fasc. n.3, p. 707-722, Unione Matematica Italiana (English)
pdf (294 Kb), djvu (241 Kb). | MR2182425 | Zbl 1179.47019

Sunto

Si introduce la classe delle relazioni lineari di Rosenthal in spazi normati e si studia in termini dei suoi coniugati primi e secondi. Si analizza il rapporto fra una relazione lineare di Rosenthal e il suo coniugato. Nell'articolo si studiano inoltre le relazioni lineari semi-Tauberiane che seguono il modello adottato nello studio delle relazioni lineari Tauberiane. Si dimostra che le relazioni lineari semi-Tauberiane condividono alcune delle proprietà delle relazioni lineari Tauberiane e che stanno in relazione alle relazioni lineari di Rosenthal nello stesso modo in cui le relazioni lineari Tauberiane si trovano in relazione con le relazioni lineari debolmente com- patte. Si descrivono esempi e si discutono casi particolari, $F_{+}$ e le relazioni lineari strettamente singolari.

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Referenze Bibliografiche