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1.
Belmesnaoui Aqzzouz Redouane Nouira 《Proceedings of the American Mathematical Society》2006,134(12):3515-3523
We give different necessary and sufficient conditions so that the space of AM-compact operators is an order ideal and we deduce some consequences. R´ESUME. Nous donnons différentes conditions nécessaires et suffisantes pour que l'espace des opérateurs AM-compacts soit un idéal d'ordre et nous déduisons quelques conséquences.
2.
Belmesnaoui Aqzzouz 《Applied Categorical Structures》2002,10(6):603-616
We define the -product of a -space by a quotient Banach space. We give conditions under which this -product will be monic. Finally, we define the
c
-product of a Schwartz b-space by a quotient Banach space and we give some examples of applications. 相似文献
3.
Given a nuclear b-space N, we show that if is a finite or -finite measure space and 1p, then the functors L
loc
p
(,N.) and NL
p
(,.) are isomorphic on the category of b-spaces of L. Waelbroeck. 相似文献
4.
We construct a holomorphic functional calculus ofn variables in q-algebras in the sense of L. Waelbroeck [18] and extend to these algebras the holomorphic functional calculus of Arens-Calderon. 相似文献
5.
Belmesnaoui Aqzzouz 《Czechoslovak Mathematical Journal》2008,58(1):173-181
We give conditions under which the functor projective limit is exact on the category of quotients of Fréchet spaces of L.Waelbroeck
[18]. 相似文献
6.
Belmesnaoui Aqzzouz Redouane Nouira Larbi Zraoula 《Rendiconti del Circolo Matematico di Palermo》2008,57(2):287-294
We give some sufficient and necessary conditions for that a positive Dunford-Pettis operator admits a dual operator which
is also Dunford-Pettis, and conversely.
相似文献
7.
We establish some sufficient and necessary conditions which give the compactness of positive Dunford–Pettis operators on Banach lattices. To cite this article: B. Aqzzouz et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
8.
This paper attempts to deal with some characterizations of almost Dunford–Pettis operators from a Banach lattice into a Banach
space. It also discusses some of the consequences derived from this study. As an application, we generalize some results of
Meyer-Nieberg on the duality between semi-compact operators and order weakly compact operators. 相似文献
9.
Belmesnaoui Aqzzouz Redouane Nouira 《Rendiconti del Circolo Matematico di Palermo》2006,55(1):103-112
We give a generalization of a result of Luxemburg and Zaanen [6] and we deduce some interesting consequences. 相似文献
10.
Belmesnaoui Aqzzouz Redouane Nouira Larbi Zraoula 《Proceedings of the American Mathematical Society》2006,134(4):1161-1165
Nous donnons des conditions nécessaires et suffisantes pour que tout opérateur de Dunford-Pettis positif sur un treillis de Banach, soit faiblement compact et nous déduisons quelques conséquences.