Banach lattices valued amarts
N. Ghoussoub (1977)
Annales de l'I.H.P. Probabilités et statistiques
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N. Ghoussoub (1977)
Annales de l'I.H.P. Probabilités et statistiques
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Nassif Ghoussoub, Michel Talagrand (1977)
Séminaire Choquet. Initiation à l'analyse
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Riccarda Rossi, Giuseppe Savaré (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Compactness in the space , being a separable Banach space, has been deeply investigated by J.P. Aubin (1963), J.L. Lions (1961, 1969), J. Simon (1987), and, more recently, by J.M. Rakotoson and R. Temam (2001), who have provided various criteria for relative compactness, which turn out to be crucial tools in the existence proof of solutions to several abstract time dependent problems related to evolutionary PDEs. In the present paper, the problem is examined in view of Young measure...
Nicolae Dinculeanu (1985)
Séminaire de probabilités de Strasbourg
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Erik Balder, Maria Girardi, Vincent Jalby (1994)
Studia Mathematica
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Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space to be norm convergent (resp. relatively norm compact), thus extending the known results for . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in . It is shown that tightness is a necessary and sufficient condition to pass from limited to...
A. Bellow, L. Egghe (1982)
Annales de l'I.H.P. Probabilités et statistiques
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Lech Drewnowski, Witold Wnuk (2002)
Revista Matemática Complutense
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The paper is devoted to a study of some aspects of the theory of (topological) Riesz space valued measures. The main topics considered are the following. First, the problem of existence (and, particularly, the so-called proper existence) of the modulus of an order bounded measure, and its relation to a similar problem for the induced integral operator. Second, the question of how properties of such a measure like countable additivity, exhaustivity or so-called absolute exhaustivity,...