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One-parameter semigroups of orthogonality preservers of JB*-algebras
In a first objective, we improve our understanding about surjective and bijective bounded
linear operators preserving orthogonality from a JB*-algebra AA into a JB*-triple E. Among …
linear operators preserving orthogonality from a JB*-algebra AA into a JB*-triple E. Among …
Linear maps which are anti-derivable at zero
Abstract Let T: A → XT: A→ X be a bounded linear operator, where A is a C^* C∗-algebra,
and X denotes an essential Banach A-bimodule. We prove that the following statements are …
and X denotes an essential Banach A-bimodule. We prove that the following statements are …
A linear preserver problem on maps which are triple derivable at orthogonal pairs
ABA Essaleh, AM Peralta - Revista de la Real Academia de Ciencias …, 2021 - Springer
A linear map** T on a JB∗-triple E is called triple derivable at orthogonal pairs if for every
a, b, c∈ E with a⊥ b we have 0={T (a), b, c}+{a, T (b), c}+{a, b, T (c)}. We prove that for each …
a, b, c∈ E with a⊥ b we have 0={T (a), b, c}+{a, T (b), c}+{a, b, T (c)}. We prove that for each …
On the strict topology of the multipliers of a JB-algebra
We introduce the Jordan-strict topology on the multiplier algebra of a JB∗-algebra, a notion
which was missing despite the forty years passed after the first studies on Jordan multipliers …
which was missing despite the forty years passed after the first studies on Jordan multipliers …
Conjugate Linear Maps from C-Algebras into Their Dual Spaces which are Ternary Derivable at the Unit Element
We prove that every continuous conjugate linear map** from a unital C^*∗-algebra A into
its dual space, A^* A∗, which is ternary derivable at the unit element of A is a ternary …
its dual space, A^* A∗, which is ternary derivable at the unit element of A is a ternary …