Weak Cauchy sequences in $L_{∞}(μ,X)$

• Autorzy: Georg Schlüchtermann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 116
• Numer: 3
• Strony: 271-281

Daty

wydano

1995

otrzymano

1994-12-20

poprawiono

1995-06-29

Twórcy

autor

Georg Schlüchtermann

• Mathematisches Institut der Ludwig-Maximilians-Universität, Theresienstrasse 39, 80333 München, Germany

Bibliografia

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