Characterization of nonlinear mixed skew lie and jordan n-Type derivation on ∗-Algebras
-
Nadeem Ur Rehman
,
Shaheen Khan
Abstract
This work delves into the characterization of mixed skew Lie and Jordan n-type ∗-derivations within the ∗-algebra 𝒜, which features a non trivial projection with unit I. In particular, if 𝒜 be an ∗-algebra, then every unital non linear mixed skew Lie and Jordan n-type derivations are additive ∗-derivations. Additionally, we explore the relevance of these derivations in the context of prime ∗-algebras, Von-Neuman algebras, Standard operator algebras.
(Communicated by Emanuel Chetcuti)
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Articles in the same Issue
- Joins of normal matrices, their spectrum, and applications
- On isbell’s density theorem for bitopological pointfree spaces II
- Every positive integer is a sum of at most n + 2 centered n-gonal numbers
- A generalisation of q-additive functions
- Generalised class groups in dihedral and fake ℤp-extensions
- Singular value bounds with applications to norm and numerical radius inequalities
- Coefficient bounds for convex functions associated with cosine function
- On solutions to q-difference equations for q-appell functions in the spirit of Olsson and Exton
- Numerical implementation of solving a boundary value problem including both delay and parameter
- Solutions of second order iterative boundary value problems with nonhomogeneous boundary conditions
- Global attractivity of nonlinear delay dynamic equations on time scales via Lyapunov functional method
- On pseudo almost periodic solutions of the parabolic-elliptic Keller-Segel systems
- A note on derivations into annihilators of the ideals of banach algebras
- Characterization of nonlinear mixed skew lie and jordan n-Type derivation on ∗-Algebras
- Linear and uniformly continuous surjections between Cp-spaces over metrizable spaces
- A goodness-of-fit test for testing exponentiality based on normalized dynamic survival extropy
- Monotonicity results of ratio between two normalized remainders of Maclaurin series expansion for square of tangent function
