Ali Taghavi

Additive mappings on C*-algebras preserving absolute values

Let H and K be two complex Hilbert spaces and 𝒜 ⊂ B(H) and ℬ ⊂ B(K) be two unital C*-algebras. It is shown that if φ : 𝒜 → ℬ is an additive surjective mapping satisfying φ(|A|) = |φ(A)| for every A ∈ 𝒜 and φ(I) is a projection, then the restriction of mapping φ to both 𝒜s and 𝒜sk is a Jordan *-homomorphism onto corresponding set in ℬ, where 𝒜s and 𝒜sk denote the set of all self-adjoint and skew-self-adjoint elements, respectively. Furthermore, if ℬ is a C*-algebra of real-rank zero then φ is a ℂ-linear or ℂ-antilinear *-homomorphism.

Hermite–Hadamard type inequalities for operator geometrically convex functions

In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite–Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results.

Non-linear *-Jordan derivations on von Neumann algebras

Let be a factor von Neumann algebra and be the *-Jordan derivation on , that is, for every , where , then is additive *-derivation.

Maps preserving the dimension of fixed points of products of operators

In this paper, we characterize the forms of surjective maps on which preserve the dimension of the vector space containing of all fixed points of products of operators. Here, denotes the algebra of all bounded linear operators on a complex Banach space with .

A note on strong skew Jordan product preserving maps on von Neumann algebras

Let

Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions

\mathcal {A}

Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras

A be a von Neumann algebra acting on the complex Hilbert space