Displaying similar documents to “Complemented ordered sets”

Noncommutative Valdivia compacta

Marek Cúth (2014)

Commentationes Mathematicae Universitatis Carolinae


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


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 .