K-Drop凸空间与局部K-Drop凸空间

K-Drop Convex Space and Local k-Drop Convex Space

引入了Banach空间的局部k-drop凸性质,研究了k-drop凸与局部k-drop凸的一些性质以及两者之间的关系,并用单位球的切片统一而简洁地处理了这两个性质.

We introduce the local k-Drop convex space in Banach space. We discuss some properties of the k-Drop convex space, the local k-Drop convex space and their relationships. Using the slice of the unit sphere we uniformly and simply treat these concepts.