Extraction of a “good” subsequence from a bounded sequence of integrable functions.

Saadoune, Mohammed; Valadier, Michel

Displaying similar documents to “Extraction of a “good” subsequence from a bounded sequence of integrable functions.”

On convergence in some subspaces of generalized functions

S. Pilipović (1979)

Matematički Vesnik

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From weak to strong types of $L_{E}^{1}$ -convergence by the Bocce criterion

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 $ℒ_{E}^{1}$ to be norm convergent (resp. relatively norm compact), thus extending the known results for $ℒ_{ℝ}^{1}$ . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in $ℒ_{E}^{1}$ . It is shown that tightness is a necessary and sufficient condition to pass from limited to...

Mosco convergence of sequences of homogeneous polynomials.

J. Ferrera (1998)

Revista Matemática Complutense

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In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.