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Weak compactness in the space of operator valued measures $M_ba(Σ,𝓛(X,Y))$ and its applications

100%

Ahmed N.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2011

tom 31

nr 2

231-247

In this note we present necessary and sufficient conditions characterizing conditionally weakly compact sets in the space of (bounded linear) operator valued measures $M_{ba}(Σ,𝓛(X,Y))$. This generalizes a recent result of the author characterizing conditionally weakly compact subsets of the space of nuclear operator valued measures $M_{ba}(Σ,𝓛₁(X,Y))$. This result has interesting applications in optimization and control theory as illustrated by several examples.

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1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Ahmed N.

1 2011

Wyniki wyszukiwania

Weak compactness in the space of operator valued measures $M_ba(Σ,𝓛(X,Y))$ and its applications