Author

Bilal Ahmad Wani

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Open access Sep 2026

Structure of Nonlinear Maps Preserving A*B − ξBA onto an Arbitrary ∗-Algebra

We show that every bijection Ψ between complex ∗-algebras satisfying Ψ(A*B−ξBA)=Ψ(A)*Ψ(B)−ξΨ(B)Ψ(A), for a fixed ξ≠0, is additive as soon as its domain is a prime unital ∗-algebra with a nontrivial projection, with nothing assumed about its codomain at all. In the additivity theorems for products built from the involut...

S. A. Bajri, B. A. Wani · Symmetry · 0 citations

Open access Sep 2026

Commutativity of Banach Algebras with Derivations and Local Identities

In this paper we prove a transfer principle for Banach algebras and use it to show that, for local identities of product type, the algebraic hypotheses of the commutativity theorems of Yood type are superfluous. Such theorems assume an algebraic identity only on a small part of the algebra and only with an exponent tha...

S. A. Bajri, B. A. Wani · Symmetry · 0 citations