Derivations and local derivations on strongly double triangle subspace lattice algebras

Let be a strongly double triangle subspace lattice. It is proved that a derivation δ from into is quasi-spatial. It is also shown that if Δ is derivable at zero, i.e. if Δ(A)B + AΔ(B) = 0 for all A and B in with AB = 0, then Δ(A) = δ(A) + λA for all where δ is a derivation and λ is a scalar. It is also shown that a local derivation from into is a derivation.

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