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math.OA2019
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…
math.OA2019
Grothendieck's inequalities for JB-triples: Proof of the Barton-Friedman conjecture
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta +1
We prove that, given a constant and a bounded linear operator from a JB-triple into a complex Hilbert space , there exists a norm-one functional sa…
math.OA2019
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…