Let K be a compact Hausdorff space, and let C(K) be the corresponding Banach space of continuous functions on K. It is well-known that every 1-summing operator S:C(K)→l2 is also nuclear, and therefore factors S = S1S2, with S1:l2→l2 a Hilbert-Schmidt operator and S1:C(K)→l2 a bounded operator. It is easily seen that this latter property is preserved when C(K) is replaced by any quotient, and that a Banach space X enjoys this property if and only if its second dual, X**, does. This led A. Pełczyński [15] to ask if the second dual of a Banach space X must be isomorphic to a quotient of a C(K)-space if X has the property that every 1-summing operator X-→l2 factors through a Hilbert-Schmidt operator. In this paper, we shall first of all reformu...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
AbstractThe main result is that every weakly compact operator between Banach spaces factors through ...
This is a partial part of our results in studying generalization of Hilbert-Schmidt and Carleman ope...
Let K be a compact Hausdorff space, and let C(K) be the corresponding Banach space of continuous fun...
AbstractWe study the structure of Banach spaces X determined by the coincidence of nuclear maps on X...
AbstractWe study the structure of Banach spaces X determined by the coincidence of nuclear maps on X...
In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert...
AbstractWe give for some Banach spaces X and Y examples of linear and continuous operators U: C(T,X)...
summary:We suggest a method of renorming of spaces of operators which are suitably approximable by s...
[EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators....
summary:We suggest a method of renorming of spaces of operators which are suitably approximable by s...
One problem, considered important in Banach space theory since at least the 1970’s, asks for intrins...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
Denote by [0,ω1) the locally compact Hausdorff space consisting of all countable ordinals, equipped ...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
AbstractThe main result is that every weakly compact operator between Banach spaces factors through ...
This is a partial part of our results in studying generalization of Hilbert-Schmidt and Carleman ope...
Let K be a compact Hausdorff space, and let C(K) be the corresponding Banach space of continuous fun...
AbstractWe study the structure of Banach spaces X determined by the coincidence of nuclear maps on X...
AbstractWe study the structure of Banach spaces X determined by the coincidence of nuclear maps on X...
In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert...
AbstractWe give for some Banach spaces X and Y examples of linear and continuous operators U: C(T,X)...
summary:We suggest a method of renorming of spaces of operators which are suitably approximable by s...
[EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators....
summary:We suggest a method of renorming of spaces of operators which are suitably approximable by s...
One problem, considered important in Banach space theory since at least the 1970’s, asks for intrins...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
Denote by [0,ω1) the locally compact Hausdorff space consisting of all countable ordinals, equipped ...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
Cette thèse est consacrée à l’extension au cadre Banachique de la notion d’opérateur de Hilbert-Schm...
AbstractThe main result is that every weakly compact operator between Banach spaces factors through ...
This is a partial part of our results in studying generalization of Hilbert-Schmidt and Carleman ope...