43 citations · 298 across the 79 of their papers we have counts for
10 papers · 1 filter
Bilocal *-automorphisms of B(H) satisfying the 3-local property
Ahlem Ben Ali Essaleh, Mohsen Niazi, Antonio M. Peralta
We prove that, for a complex Hilbert space with dimension bigger or equal than three, every linear mapping satisfying the 3-local property is a -monomorph…
Cebysev subspaces of JBW*-triples
Fatmah B. Jamjoom, Antonio M. Peralta, Akhlaq A. Siddiqui +1
We describe the one-dimensional Čebyšëv subspaces of a JBW-triple by showing that for a non-zero element in , is a Čebyšëv subspace of if, and onl…
Weak-local derivations and homomorphisms on C*-algebras
Ahlem Ben Ali Essaleh, Antonio M. Peralta, María Isabel Ramírez
We prove that every weak-local derivation on a C-algebra is continuous, and the same conclusion remains valid for weak-local derivations on von Neumann algebras. We further…
Jordan weak amenability and orthogonal forms on JB*-algebras
Fatmah B. Jamjoom, Antonio M. Peralta, Akhlaq A. Siddiqui
We prove the existence of a linear isometric correspondence between the Banach space of all symmetric orthogonal forms on a JB-algebra and the Banach space of all…
A survey on local and 2-local derivations on C*- and von Neuman algebras
Shavkat Ayupov, Karimbergen Kudaybergenov, Antonio M. Peralta
We survey the results on local and 2-local derivations on C*-algebras, von Neumann algebras and JB*-triples.
2-local triple derivations on von Neumann algebras
Karimbergen Kudaybergenov, Timur Oikhberg, Antonio M. Peralta +1
We prove that every {\rm(}not necessarily linear nor continuous{\rm)} 2-local triple derivation on a von Neumann algebra is a triple derivation, equivalently, the set Der$_{t}…