9 citations · 13 across the 9 of their papers we have counts for
11 papers
Linear maps preserving products equal to primitive idempotents of an incidence algebra
Jorge J. Garcés, Mykola Khrypchenko
Let , be algebras and , a fixed pair of elements. We say that a map preserves products equal to and if for all the equalit…
A projection--less approach to Rickart Jordan structures
Jorge J. Garcés, Lei Li, Antonio M. Peralta +1
The main goal of this paper is to introduce and explore an appropriate notion of weakly Rickart JB-triples. We introduce weakly order Rickart JB-triples, and we show that a…
Potent preservers of incidence algebras
Jorge J. Garcés, Mykola Khrypchenko
Let be a finite connected poset, a field and the incidence algebra of over . We describe the bijective linear idempotent preservers . Na…
One-parameter groups of orthogonality preservers on JB-algebras
Jorge J. Garcés, Antonio M. Peralta
In a first objective we improve our understanding about surjective and bijective bounded linear operators preserving orthogonality from a JB-algebra into a JB…
Tingley's problem for spaces of trace class operators
Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta +1
We prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or conjugate linear isometry bet…
Orthogonal forms and orthogonality preservers on real function algebras revisited
Antonio M. Peralta
In 2014, we determine the precise form of a continuous orthogonal form on a commutative real C-algebra. We also describe the general form of a (not-necessarily continuous) orth…
2-local triple homomorphisms on von Neumann algebras and JBW-triples
Maria Burgos, Francisco J. FernÁndez-Polo, Jorge J. GarcÉs +1
We prove that every (not necessarily linear nor continuous) 2-local triple homomorphism from a JBW-triple into a JB-triple is linear and a triple homomorphism. Consequently…
A Kowalski-Słodkowski theorem for 2-local -homomorphisms on von Neumann algebras
María Burgos, Francisco J. Fernández-Polo, Jorge J. Garcés +1
It is established that every (not necessarily linear) 2-local -homomorphism from a von Neumann algebra into a C-algebra is linear and a -homomorphism. In the setting of…
Orthogonally additive, orthogonality preserving, holomorphic mappings between C*-algebras
Jorge J. Garcés, Antonio M. Peralta, Daniele Puglisi +1
We study holomorphic maps between C-algebras and . When is a holomorphic mapping whose Taylor series at zero is uniformly convergin…
Orthogonal forms and orthogonality preservers on real function algebras
Jorge J. Garcés, Antonio M. Peralta
We initiate the study of orthogonal forms on a real C-algebra. Motivated by previous contributions, due to Ylinen, Jajte, Paszkiewicz and Goldstein, we prove that for every con…
Local triple derivations on C*-algebras
Maria Burgos, Francisco J. Fernández-Polo, Jorge J. Garcés +1
We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital JB*-algebras.