1 citations · 2 across the 7 of their papers we have counts for
7 papers · 2 filters
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…
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.
Perturbation of -copies in Preduals of JBW-triples
Antonio M. Peralta, Hermann Pfitzner
Two normal functionals on a JBW-triple are known to be orthogonal if and only if they are -orthogonal (meaning that they span an isometric copy of ). This is show…
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…