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Algebraic isomorphisms and Jordan derivations of 𝒥-subspace lattice algebras

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Lu F., Li P.

Studia Mathematica

2003

tom 158

nr 3

287-301

It is shown that every algebraic isomorphism between standard subalgebras of 𝒥-subspace lattice algebras is quasi-spatial and every Jordan derivation of standard subalgebras of 𝒥-subspace lattice algebras is an additive derivation. Also, it is proved that every finite rank operator in a 𝒥-subspace lattice algebra can be written as a finite sum of rank one operators each belonging to that algebra. As an additional result, a multiplicative bijection of a 𝒥-subspace lattice algebra onto an arbitrary ring is proved to be automatically additive. Those results can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.

Ograniczanie wyników

1 Studia Mathematica

1 Li P.

1 Lu F.

1 2003

Wyniki wyszukiwania

Algebraic isomorphisms and Jordan derivations of 𝒥-subspace lattice algebras