43 citations · 298 across the 79 of their papers we have counts for
8 papers · 1 filter
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…
Extension of isometries from the unit sphere of a rank-2 Cartan factor
Ondřej F. K. Kalenda, Antonio M. Peralta
We prove that every surjective isometry from the unit sphere of a rank-2 Cartan factor onto the unit sphere of a real Banach space , admits an extension to a surjective real…
On the Mazur--Ulam property for the space of Hilbert-space-valued continuous functions
María Cueto-Avellaneda, Antonio M. Peralta
Let be a compact Hausdorff space and let be a real or complex Hilbert space with dim. We prove that the space of all -valued continuous fu…
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…