Dual properties for unconditionally converging operators
Joe Howard (1974)
Commentationes Mathematicae Universitatis Carolinae
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Joe Howard (1974)
Commentationes Mathematicae Universitatis Carolinae
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Giovanni Emmanuele (2004)
Commentationes Mathematicae Universitatis Carolinae
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Using some known lifting theorems we present three-space property type and permanence results; some of them seem to be new, whereas other are improvements of known facts.
Georg Schlüchtermann (1995)
Studia Mathematica
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For a finite and positive measure space Ω,∑,μ characterizations of weak Cauchy sequences in , the space of μ-essentially bounded vector-valued functions f:Ω → X, are presented. The fine distinction between Asplund and conditionally weakly compact subsets of is discussed.
Jesús M. Fernández Castillo, Fernando Sánchez (1993)
Revista Matemática de la Universidad Complutense de Madrid
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Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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Jesús M. Fernández Castillo, Manuel González (1991)
Extracta Mathematicae
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In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...