Nonlinear mixed *-Jordan type higher derivations on *-algebras
Authors:
Open Access
- 1 January 2025
- journal article
- Published by National Library of Serbia in Filomat
- Vol. 39 (15) , 5203-5216
Abstract
In this paper, we show that any nonlinear mixed *-Jordan-type higher derivation on unital *-algebras is an additive higher *-derivation. As applications, nonlinear mixed *-Jordan-type higher derivations on some classical unital *-algebras, such as prime *-algebras, von Neumann algebras of type I1, factor von Neumann algebras and standard operator algebras, are characterized, and some conclusions are extended.Keywords
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