45 citations · 120 across the 11 of their papers we have counts for
12 papers
Boundary integral representation of multipliers of fragmented affine functions and other intermediate function spaces
Ondřej F. K. Kalenda, Jakub Rondoš, Jiří Spurný
We develop a theory of abstract intermediate function spaces on a compact convex set and study the behaviour of multipliers and centers of these spaces. In particular, we provi…
An Amir-Cambern theorem for subspaces of Banach lattice-valued continuous functions
Jakub Rondoš, Jiří Spurný
For , let be a reflexive Banach lattice over with a certain parameter , let be a locally compact (Hausdorff) topological space and let $…
Preserving affine Baire classes by perfect affine maps
Ondřej F. K. Kalenda, Jiří Spurný
Let be an affine continuous surjection between compact convex sets. Suppose that the canonical copy of the space of real-valued affine continuous functions on …
Baire classes of affine vector-valued functions
Ondřej F. K. Kalenda, Jiří Spurný
We investigate Baire classes of strongly affine mappings with values in Fréchet spaces. We show, in particular, that the validity of the vector-valued Mokobodzki's result on affine…
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…
Typical martingale diverges at a typical point
Ondřej Kalenda, Jiří Spurný
We investigate convergence of martingales adapted to a given filtration of finite -algebras. To any such filtration we associate a canonical metrizable compact space such th…
On quantitative Schur and Dunford-Pettis properties
Ondřej F. K. Kalenda, Jiří Spurný
We show that the dual to any subspace of has the strongest possible quantitative version of the Schur property. Further, we establish relationship between the quantitative…
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,…
Descriptive properties of elements of biduals of Banach spaces
Pavel Ludvik, Jiri Spurny
If is a Banach space, any element in its bidual is an affine function on the dual unit ball that might possess variety of descriptive properties wit…
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…
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…