Mosco convergence of sequences of homogeneous polynomials.

J. Ferrera

Displaying similar documents to “Mosco convergence of sequences of homogeneous polynomials.”

On convergence groups and convergence uniformities

D. Kent (1967)

Fundamenta Mathematicae

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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...