Absolutely ( "?", p) summing and weakly-p-compact operators in Banach spaces

Absolutely ( "?", p) summing and weakly-p-compact operators in Banach spaces

A sequence (xn) in a Banach space X is said to be weakly-p-summable, 1 = p < 8, when for each x* Î X*, (x*xn) Î lp. We shall say that a sequence (xn) is weakly-p-convergent if for some x Î X, (xn - x) is weakly-p-summable

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Bibliographische Detailangaben
Veröffentlicht in:Extracta mathematicae 1990, Vol.5 (3), p.153-155
1. Verfasser: Fernández Castillo, Jesús M
Format: Artikel
Sprache:eng
Schlagworte:
Espacios de Banach
Espacios normados
Operador absolutamente sumante
Operador débilmente compacto
Operadores lineales
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Zusammenfassung:A sequence (xn) in a Banach space X is said to be weakly-p-summable, 1 = p < 8, when for each x* Î X*, (x*xn) Î lp. We shall say that a sequence (xn) is weakly-p-convergent if for some x Î X, (xn - x) is weakly-p-summable
ISSN:0213-8743
2605-5686