43 citations · 298 across the 79 of their papers we have counts for
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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…
Linear maps between C*-algebras that are *-homomorphisms at a fixed point
María J. Burgos, J. Cabello-Sánchez, Antonio M. Peralta
Let and be C-algebras. A linear map is said to be a -homomorphism at an element if in implies , an…
Preduals of JBW-triples are 1-Plichko spaces
Martin Bohata, Jan Hamhalter, Ondrej F. K. Kalenda +2
We prove that the predual, , of a JBW-triple is a 1-Plichko space (i.e. it admits a countably 1-norming Markushevich basis or, equivalently, it has a commutative 1-pro…
Inner derivations and weak-2-local derivations on the C-algebra
E. Jordá, A. M. Peralta
Let be a locally compact Hausdorff space. Suppose is a C-algebra with the property that every weak-2-local derivation on is a {\rm(}linear{\rm)} derivation. We prov…
A solution to Tingley's problem for isometries between the unit spheres of compact C-algebras and JB-triples
Antonio M. Peralta, Ryotaro Tanaka
Let be a surjective isometry between the unit spheres of two weakly compact JB-triples not containing direct summands of rank smaller than or equal to 3. Sup…
Stability of derivations under weak-2-local continuous perturbations
Enrique Jordá, Antonio M. Peralta
Let be a compact Hausdorff space and let be a C-algebra. We prove that if every weak-2-local derivation on is a linear derivation and every derivation on i…