Additive structure of multiplicative subgroups of fields and Galois theory.
Mahé, Louis, Mináč, Ján, Smith, Tara L. (2004)
Documenta Mathematica
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Mahé, Louis, Mináč, Ján, Smith, Tara L. (2004)
Documenta Mathematica
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Marek Cúth (2014)
Commentationes Mathematicae Universitatis Carolinae
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We prove some generalizations of results concerning Valdivia compact spaces (equivalently spaces with a commutative retractional skeleton) to the spaces with a retractional skeleton (not necessarily commutative). Namely, we show that the dual unit ball of a Banach space is Corson provided the dual unit ball of every equivalent norm has a retractional skeleton. Another result to be mentioned is the following. Having a compact space , we show that is Corson if and only if every continuous...
Liu, Xiaochun, Witt, Ingo (2004)
Documenta Mathematica
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Robert Hakl, Alexander Lomtatidze, Jiří Šremr (2004)
Archivum Mathematicum
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Nonimprovable sufficient conditions for the solvability and unique solvability of the problem are established, where is a continuous operator satisfying the Carathèodory conditions, is a continuous functional, and .