43 citations · 298 across the 79 of their papers we have counts for
10 papers · 1 filter
Boundedness of completely additive measures with application to 2-local triple derivations
Jan Hamhalter, Karimbergen Kudaybergenov, Antonio M. Peralta +1
We prove a Jordan version of Dorofeev's boundedness theorem for completely additive measues and use it to show that every (not necessarily linear nor continuous) 2-local triple der…
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…
On a generalized Semrl's theorem for weak-2-local derivations on B(H)
Juan Carlos Cabello, Antonio M. Peralta
We prove that, for every complex Hilbert space , every weak-2-local derivation on or on is a linear derivation. We also establish that every weak-2-local derivatio…
Weak-2-local symmetric maps on C*-algebras
Juan Carlos Cabello, Antonio M. Peralta
We introduce and study weak-2-local symmetric maps between C-algebras and as non necessarily linear nor continuous maps such that for each and $ϕ…
Inner ideals, compact tripotents and Čebyšëv subtriples of JB-triples and C-algebras
Fatmah B. Jamjoom, Antonio M. Peralta, Akhlaq A. Siddiqui +1
The aim of this note is to study Čebyšëv JB-subtriples of general JB-triples. It is established that if is a non-zero Čebyšëv JB-subtriple of a JB-triple , t…
Linear maps between C*-algebras preserving extreme points and strongly linear preservers
María J. Burgos, Antonio C. Márquez-García, Antonio Morales-Campoy +1
We study new classes of linear preservers between C-algebras and JB-triples. Let and be JB-triples with . We prove that every linear map $T:…