1 citations · 1 across the 5 of their papers we have counts for
5 papers
Estimations of the numerical index of a JB-triple
David Cabezas, Antonio M. Peralta
We prove that every commutative JB-triple has numerical index one. We also revisit the notion of commutativity in JB-triples to show that a JBW-triple has numerical…
Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition
David Cabezas, María Cueto-Avellaneda, Yuta Enami +2
In 2022, Hatori gave a sufficient condition for complex Banach spaces to have the complex Mazur--Ulam property. In this paper, we introduce a class of complex Banach spaces tha…
The Daugavet equation for polynomials on C-algebras and JB-triples
David Cabezas, Miguel Martín, Antonio M. Peralta
We prove that every JB-triple (in particular, every -algebra) satisfying the Daugavet property also satisfies the stronger polynomial Daugavet property, that is, every…
Linear orthogonality preservers between function spaces associated with commutative JB-triples
David Cabezas, Antonio M. Peralta
It is known, by Gelfand theory, that every commutative JB-triple admits a representation as a space of continuous functions of the form $$C_0^{\mathbb{T}}(L) = \{ a\in C_0(L) :…
Every commutative JB-triple satisfies the complex Mazur--Ulam property
David Cabezas, María Cueto-Avellaneda, Daisuke Hirota +2
We prove that every commutative JB-triple satisfies the complex Mazur--Ulam property. Thanks to the representation theory, we can identify commutative JB-triples as spaces…