Multiplicative ∗-Jordan type higher derivations on von Neumann algebras. Issue 12 (1st December 2020) - Wani, Bilal Ahmad
Abstract: Let be a von Neumann algebra without nonzero central abelian projections on a complex Hilbert space . Let pn ( X 1, X 2, · · ·, Xn ) be the polynomial defined by n indeterminates X 1, · · ·, Xn and their Jordan multiple ∗-products. In this paper it is shown that a family 𝒟 = { dm } m ∈ℕ of mappings such that, the identity map on satisfies the condition for all U 1, U 2, · · ·, Un ∈ and for each m ∈ ℕ if and only if 𝒟 = { dm } m ∈ℕ is an additive ∗-higher derivation.