2-Local derivations on matrix algebras and algebras of measurable operators

Shavkat Ayupov, Karimbergen Kudaybergenov, Amir Alauadinov

Let \(\mathcal{A}\) be a unital Banach algebra such that any Jordan derivation from \(\mathcal{A}\) into any \(\mathcal{A}\)-bimodule \(\mathcal{M}\) is a derivation. We prove that…