研究了由非紧距离空间(M,d)到Riesz空间R上的非线性Lipschitz-α算子的格,证明了算子空间LB^α(M,R)是Riesz空间且(B1(LB^α(M,R),∨,∧)是一完备的完全可分配格.
Firstly, the non-linear Lipschitz-α operator lattice from (M, d) to Riesz space is studied. Secondly, it is proved that operator space L^αB (M,R) is Riesz space and(B1 (L^αB (M,R)),∨,∧ )is completely distributive lattice.