在LF-拓扑空间上通过集族的限制引入了子空间概念，并讨论了子空间的一些性质。
The definition of U-subspace was induced by restrict of sets in LF-topology topology space. Moreover, some of their basic properties are also examined.
主要结果有：给出了F空间判定的必要条件； 得到了线性序拓扑空间中的F子空间的刻画；
The following results are given: A necessary condition of F space and a character of F subspace in linear order space;
讨论了有限维和无限维复J-辛空间上的拓扑，并证明了复J-辛空间的每一个完全J-Lagrangian子流形都是闭集。
We discuss topologies for complex J-symplectic spaces and prove that each complete J-Lagrangian submanifold of the complex J-symplectic spaces a closed set.
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