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Weak Cauchy sequences in L ( μ , X )

Georg Schlüchtermann — 1995

Studia Mathematica

For a finite and positive measure space Ω,∑,μ characterizations of weak Cauchy sequences in L ( μ , X ) , 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 L ( μ , X ) is discussed.

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