Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products

Yunhe Chen, Jiankui Li

Let $\mathcal{L}$ be a subspace lattice on a Banach space $X$ and let $\delta :\mathrm{Alg}\mathcal{L}\to B(X)$ be a linear mapping. If $\vee\{L\in \mathcal{L}: L_-\nsupseteq L\}…