22 citations · 125 across the 19 of their papers we have counts for
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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…
Preduals of JBW-triples are 1-Plichko spaces
Martin Bohata, Jan Hamhalter, Ondrej F. K. Kalenda +2
We prove that the predual, , of a JBW-triple is a 1-Plichko space (i.e. it admits a countably 1-norming Markushevich basis or, equivalently, it has a commutative 1-pro…