22 citations · 125 across the 19 of their papers we have counts for
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Lipschitz-free spaces over separable Banach spaces and their complementability in the bidual
Marek Cúth, Ondřej F. K. Kalenda
We prove that the Lipschitz-free space over a separable Banach space is complemented in its bidual if and only if the underlying Banach space is isomorphic to a Hilbert space. This…
Quantitative Schur property and measures of weak non-compactness
Ondřej F. K. Kalenda
We compare several versions of the quantitative Schur property of Banach spaces. We establish their equivalence up to multiplicative constants and provide examples clarifying when…
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…
Projectional skeletons and Markushevich bases
Ondřej F. K. Kalenda
We prove that Banach spaces with a -projectional skeleton form a -class and deduce that any such space admits a strong Markushevich basis. We provide several equiva…
Measures of weak non-compactness in spaces of nuclear operators
Jan Hamhalter, Ondřej F. K. Kalenda
We show that in the space of nuclear operators from to the two natural ways of measuring weak non-compactness coincide. We also provide explicit formulas fo…
Finitely additive measures and complementability of Lipschitz-free spaces
Marek Cúth, Ondřej F. K. Kalenda, Petr Kaplický
We prove in particular that the Lipschitz-free space over a finitely-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective project…