43 citations · 298 across the 79 of their papers we have counts for
8 papers · 1 filter
On the strict topology of the multipliers of a JB-algebra
Francisco J. Fernández-Polo, Jorge J. Garcés, Lei Li +1
We introduce the Jordan-strict topology on the multipliers algebra of a JB-algebra, a notion which was missing despite the fourty years passed after the first studies on Jordan…
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…
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) :…
Maps preserving triple transition pseudo-probabilities
Antonio M. Peralta
Let and be minimal tripotents in a JBW-triple . We introduce the notion of triple transition pseudo-probability from to as the complex number $TTP(e,v)= φ_v(…