获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
In the inner product space, the existence theory of best approximation element was obtained and described.
深化算子的开映射定理，对偶地定义了算子的闭映射与弱闭映射，并讨论了相关的若干性质。
Deepen the open mapping theorem, define the closed mapping and the weakly closed mapping under untithesis, and also discuss some of their related properties.
证明了相对正规分离性是遗传的、相对闭集传递的、弱同胚不变的、L -好的推广性质。
It is proved that relative hereditary, relative closed transition, weak homeomorphic invariant, L-good extension are all valid.
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