19 citations · 55 across the 8 of their papers we have counts for
8 papers
On simpliciality of function spaces not containing constants
Ondřej F. K. Kalenda, Jiří Spurný
We investigate simpliciality of function spaces without constants. We prove, in particular, that several properties characterizing simpliciality in the classical case differ in thi…
Order type relations on the set of tripotents in a JB-triple
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We introduce, investigate and compare several order type relations on the set of tripotents in a JB-triple. The main two relations we address are and . We say th…
Monotone retractability and retractional skeletons
Marek Cúth, Ondřej F. K. Kalenda
We prove that a countably compact space is monotonically retractable if and only if it has a full retractional skeleton. In particular, a compact space is monotonically retractable…
Optimal approximate fixed point results in locally convex spaces
Cleon S. Barroso, Ondřej F. K. Kalenda, Michel P. Rebouças
Let be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps . First we prove that…
Quantification of the reciprocal Dunford-Pettis property
Ondřej F. K. Kalenda, Jiří Spurný
We prove in particular that Banach spaces of the form , where is a locally compact space, enjoy a quantitative version of the reciprocal Dunford-Pettis property.
Spaces not containing have weak aproximate fixed point property
Ondřej F. K. Kalenda
A nonempty closed convex bounded subset of a Banach space is said to have the weak approximate fixed point property if for every continuous map there is a sequence $…