Jordan isomorphisms of \(\mathcal J\)-subspace lattice algebras (Q1406295)

Let \(\mathcal L\) be a \(\mathfrak L\)-subspace lattice. A subalgebra of Alg\,\(\mathcal L\) is called a standard subalgebra if it contains all finite rank operators in Alg\,\(\mathcal L\). The authors characterize Jordan isomorphisms between standard operator subalgebras of \(\mathfrak L\)-subspace lattice algebras. This result is also applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.