We give a characterisation of L_1 O L_2 where Lx and Li are subspace lattices with L_0 commutative and either completely distributive or complemented. We use it to show that Lat(A_1,A_2 = LatA_1 LatA_2 if A_1 is a CSL algebra with a completely distributive or complemented lattice and A2 is any operator algebra.
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机译：我们给出了L_1 O L_2的特征，其中Lx和Li是具有L_0可交换且完全分布或互补的子空间晶格。我们使用它来证明，如果A_1是具有完全分布或互补格的CSL代数，而A2是任何算子代数，则Lat（A_1，A_2 = LatA_1 LatA_2。
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