22 citations · 125 across the 19 of their papers we have counts for
20 papers
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…
Determinants in Jordan matrix algebras
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We introduce a natural notion of determinant in matrix JB-algebras, i.e., for hermitian matrices of biquaternions and for hermitian matrices of complex octonions. W…
Finite tripotents and finite JBW-triples
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We study two natural preorders on the set of tripotents in a JB-triple defined in terms of their Peirce decomposition and weaker than the standard partial order. We further int…
Measures of weak non-compactness in preduals of von Neumann algebras and JBW-triples
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta +1
We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW-triples. This result is new even for preduals of von Neumann alg…
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…