Details

Autor(en) / Beteiligte

• Chen, Lin
• Lu, Fangyan

Titel

Local Maps of JSL Algebras

Ist Teil von

• Complex analysis and operator theory, 2019-06, Vol.13 (4), p.1661-1674

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A JSL algebra is a reflexive algebra with the J -subspace lattice and a standard subalgebra of it is a subalgebra of it containing all finite rank operators in it. We prove that every local Lie derivation of a JSL algebra is a Lie derivation, every 2-local derivation of a standard subalgebra of a JSL algebra is a derivation and every surjective 2-local isomorphism between standard subalgebras of JSL algebras is an isomorphism. These results can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.