32 citations · 96 across the 15 of their papers we have counts for
16 papers
On optimality of constants in the Little Grothendieck Theorem
Ondřej F. K. Kalenda, Antonio M. Peralta, Hermann Pfitzner
We explore the optimality of the constants making valid the recently established Little Grothendieck inequality for JB-triples and JB-algebras. In our main result we prove…
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…
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…
Weak Banach-Saks property and Komlos theorem for preduals of JBW-triples
Antonio M. Peralta, Hermann Pfitzner
We show that the predual of a JBW-triple has the weak Banach-Saks property, that is, reflexive subspaces of a JBW-triple predual are super-reflexive. We also prove that JBW…
Perturbation of -copies in Preduals of JBW-triples
Antonio M. Peralta, Hermann Pfitzner
Two normal functionals on a JBW-triple are known to be orthogonal if and only if they are -orthogonal (meaning that they span an isometric copy of ). This is show…