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Semigroups preserving a convex set in a Banach space - MaRDI portal

Semigroups preserving a convex set in a Banach space (Q640827)

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scientific article; zbMATH DE number 5960766
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Semigroups preserving a convex set in a Banach space
scientific article; zbMATH DE number 5960766

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    Semigroups preserving a convex set in a Banach space (English)
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    21 October 2011
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    From the abstract: ``We discuss semigroups that preserve a convex set in a Banach space or a Hilbert space. We give sufficient conditions for which a semigroup preserves a convex set. Using this, we show that various issues can be treated in a unified way. We also discuss the problem in the Hilbert space setting, in which we use the sesquilinear form associated with a semigroup.''
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    semigroups preserving a convex set
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    Markovian property
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    positivity-preserving property
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