7 citations · 16 across the 6 of their papers we have counts for
11 papers
The minimax principle and related topics in the Jordan setting
Francisco J. Fernández-Polo
We prove a minimax principle for weakly compact JB-triples characterizing geometrically the singular values of an element. Among the consequences of this principle we present a…
The Ricci pinching functional on solvmanifolds
Jorge Lauret, Cynthia E. Will
We study the natural functional F=scal^2/|Ric|^2 on the space of all non-flat left-invariant metrics on all solvable Lie groups of a given dimension n. As an application of propert…
Tingley's problem for -Schatten von Neumann classes
Francisco J. Fernández-Polo, Enrique Jordá, Antonio M. Peralta
Let and be a complex Hilbert spaces. For we consider the Banach space of all -Schatten von Neumann operators, whose unit spher…
On the extension of isometries between the unit spheres of von Neumann algebras
Antonio M. Peralta, Francisco J. Fernández-Polo
We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebr…
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…
Tingley's problem through the facial structure of an atomic JBW*-triple
Francisco J. Fernández-Polo, Antonio M. Peralta
We prove that every surjective isometry between the unit spheres of two atomic JBW-triples and admits a unit extension to a surjective real linear isometry from int…
On the extension of isometries between the unit spheres of a C*-algebra and B(H)
Francisco J. Fernández-Polo, Antonio M. Peralta
Given two complex Hilbert spaces and , let and denote the unit spheres of the C-algebras and of all bounded linear operators on and…
Low rank compact operators and Tingley's problem
Francisco J. Fernández'Polo, Antonio M. Peralta
Let and be arbitrary weakly compact JB-triples whose unit spheres are denoted by and , respectively. We prove that every surjective isometry $f: S(E) \to S…
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…
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.