Pointwise Compact Sets of Measurable Functions.
D.H. Fremlin (1975)
Manuscripta mathematica
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D.H. Fremlin (1975)
Manuscripta mathematica
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Ulrich Rieder (1978)
Manuscripta mathematica
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Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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Ep de Jonge (1979)
Mathematische Zeitschrift
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Andrzej Spakowski (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Andrzej Nowak, Celina Rom (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Beata Kubiś (2001)
Mathematica Bohemica
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We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.