43 citations · 298 across the 79 of their papers we have counts for
5 papers · 2 filters
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…
Linear maps which are anti-derivable at zero
Doha Adel Abulhamil, Fatmah B. Jamjoom, Antonio M. Peralta
Let be a bounded linear operator, where is a C-algebra, and denotes an essential Banach -bimodule. We prove that the following statements are equivalent:…
Metric characterisation of unitaries in JB-algebras
María Cueto-Avellaneda, Antonio M. Peralta
Let be a unital JB-algebra whose closed unit ball is denoted by . Let denote the set of all extreme points of . We…
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…
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…