Photo by vika_strawberrika from unsplash
Abstract Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. Let be the polynomial defined by n indeterminates and their multiple *-Lie… Click to show full abstract
Abstract Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. Let be the polynomial defined by n indeterminates and their multiple *-Lie products and be the set of non-negative integers. In this paper, it is shown that if is closed under the adjoint operation and is the family of mappings such that the identity map on satisfying for all and for each , then is an additive *-higher derivation. Moreover, is inner.
Keywords:
multiplicative lie;
lie type;
higher derivations;
type higher;
standard operator;
operator
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!