45 citations · 197 across the 18 of their papers we have counts for
18 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…
On optimality of constants in the Little Grothendieck Theorem
Ondřej F. K. Kalenda, Antonio M. Peralta, Hermann Pfitzner
We explore the optimality of the constants making valid the recently established Little Grothendieck inequality for JB-triples and JB-algebras. In our main result we prove…
Plans on measures and AM-modulus
Vendula Honzlová Exnerová, Ondřej F. K. Kalenda, Jan Malý +1
For measuring families of curves, or, more generally, of measures, -modulus is traditionally used. More recent studies use so-called plans on measures. In their fundamental pa…
Absolute spaces
Vojtěch Kovařík, Ondřej Kalenda
We prove that hereditarily Lindelöf space which is in some compactification is absolutely . In particular, this implies that any separable Banach space is absolute…
Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces
Marek Cúth, Ondřej F. K. Kalenda, Petr Kaplický
Let be a finite-dimensional normed space and a nonempty convex open set in . We show that the Lipschitz-free space of is canonically isometric to the quotient of $L^…
Decompositions of preduals of JBW and JBW algebras
Martin Bohata, Jan Hamhalter, Ondřej F. K. Kalenda
We prove that the predual of any JBW-algebra is a complex -Plichko space and the predual of any JBW-algebra is a real -Plichko space. I.e., any such space has a countably…
On Markushevich bases in preduals of von Neumann algebras
Martin Bohata, Jan Hamhalter, Ondřej F. K. Kalenda
We prove that the predual of any von Neumann algebra is -Plichko, i.e., it has a countably -norming Markushevich basis. This answers a question of the third author who proved…
Quantification of the Banach-Saks property
Hana Bendová, Ondřej F. K. Kalenda, Jiří Spurný
We investigate possible quantifications of the Banach-Saks property and the weak Banach-Saks property. We prove quantitative versions of relationships of the Banach-Saks property o…
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…
Note on Bessaga-Klee classification
Marek Cúth, Ondřej F. K. Kalenda
We collect several variants of the proof of the third case of the Bessaga-Klee relative classification of closed convex bodies in topological vector spaces. We were motivated by th…
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.
Quantitative Dunford-Pettis property
Miroslav Kačena, Ondřej F. K. Kalenda, Jiří Spurný
We investigate possible quantifications of the Dunford-Pettis property. We show, in particular, that the Dunford-Pettis property is automatically quantitative in a sense. Further,…
On a difference between quantitative weak sequential completeness and the quantitative Schur property
Ondřej F. K. Kalenda, Jiří Spurný
We study quantitative versions of the Schur property and weak sequential completeness, proceeding thus with investigations started by G. Godefroy, N. Kalton and D. Li and continued…
On the approximate fixed point property in abstract spaces
Cleon S. Barroso, Ondřej F. K. Kalenda, Pei-Kee Lin
Let be a Hausdorff topological vector space, its topological dual and a subset of . In this paper, we establish some results concerning the -approximate…
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 $…
A quantitative version of James' compactness theorem
Bernardo Cascales, Ondřej F. K. Kalenda, Jiří Spurný
We introduce two measures of weak non-compactness and that quantify, via distances, the idea of boundary behind James' compactness theorem. These measures tell us, for…