Multiplicative *-Lordan type higher derivations on Von Neumann algebras

  • Bilal Ahmad Wani
  • Mohammed Ashraf
  • Wenhui Lin
Keywords: Multiplicative *-Lie n-derivation, multiplicative *-lie n-higher derivation, von Neumann algebra

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.

Mathematics Subject Classification (2010): 47B47, 16W25, 46K15.

 

Published
2021-02-01
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606