Semidynamical systems and Hilbert's fifth problem (Q647129)

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scientific article; zbMATH DE number 5983363
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Semidynamical systems and Hilbert's fifth problem
scientific article; zbMATH DE number 5983363

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    Semidynamical systems and Hilbert's fifth problem (English)
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    1 December 2011
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    The author presents Hilbert's Fifth Problem and his main result, obtained in collaboration with \textit{J. R. Dorroh} in [``A theory of strongly continuous semigroups in terms of Lie generators'', J. Funct. Anal. 136, No. 1, 114--126 (1996; Zbl 0848.22005)], which characterizes the jointly continuous semigroups on a Polish space. Some remarks on related semigroups on spaces of measures and their applications are also addressed.
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    Hilbert's 5th problem
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    semigroups
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    jointly continuous semigroups
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    Polish space
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    linear transformations
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