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Displaying similar documents to “Complemented ordered sets”

Noncommutative Valdivia compacta

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 K , we show that K is Corson if and only if every continuous...

Solvability of a periodic type boundary value problem for first order scalar functional differential equations

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 u ' ( t ) = F ( u ) ( t ) , u ( a ) - λ u ( b ) = h ( u ) are established, where F : is a continuous operator satisfying the Carathèodory conditions, h : R is a continuous functional, and λ .