Abstract
Let L be a J -subspace lattice. A subalgebra of Alg L is called a standard subalgebra if it contains all finite rank operators in Alg L . In this paper, a characterization of Jordan isomorphisms between standard subalgebras of J -subspace lattice algebras is given. This result can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively.
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