Elsevier

Linear Algebra and its Applications

Volume 371, 15 September 2003, Pages 255-264
Linear Algebra and its Applications

Jordan isomorphisms of J-subspace lattice algebras

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Abstract

Let L be a J-subspace lattice. A subalgebra of AlgL is called a standard subalgebra if it contains all finite rank operators in AlgL. 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.

MSC

47L10
47L35
47B47

Keywords

J-subspace lattices
J-subspace lattice algebras
Jordan isomorphisms

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