Generalized Lions-Peetre methods of constants and means and operator ideals

Generalized Lions-Peetre methods of constants and means and operator ideals

We establish results on interpolation of Rosenthal operators, Banach-Saks operators, Asplund operators and weakly compact operators by means of generalized Lions-Peetre methods of constants and means. Applications are presented for the $K$-method space generated by the Calderón-Lozanovskii space par...

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Veröffentlicht in:Collectanea mathematica (Barcelona) 2007, Vol.58 (1)
Hauptverfasser: Manzano Rodríguez, Antonio, Mastylo, M.
Format: Artikel
Sprache:cat ; eng
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Zusammenfassung:We establish results on interpolation of Rosenthal operators, Banach-Saks operators, Asplund operators and weakly compact operators by means of generalized Lions-Peetre methods of constants and means. Applications are presented for the $K$-method space generated by the Calderón-Lozanovskii space parameters.
ISSN:0010-0757
2038-4815