43 citations · 298 across the 79 of their papers we have counts for
26 papers · 1 filter
Metric invariants in Banach and Jordan--Banach algebras
Antonio M. Peralta
In this note we collect some significant contributions on metric invariants for complex Banach algebras and Jordan--Banach algebras established during the last fifteen years. This…
Lie--Trotter formulae in Jordan--Banach algebras with applications to the study of spectral-valued multiplicative functionals
Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena
We establish some Lie--Trotter formulae for unital complex Jordan--Banach algebras, showing that for each couple of elements in a unital complex Jordan--Banach algebra $\math…
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…
Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries
Antonio M. Peralta
We prove that every bijection preserving triple transition pseudo-probabilities between the sets of minimal tripotents of two atomic JBW-triples automatically preserves orthogo…
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…