在线性代数和相关的数学领域中,一个平衡集(balanced set)、圆集或圆盘是在一个域上加上绝对值函数的向量空间上的集合,使得对于所有标量以及:
其中
集合S的平衡包(balanced hull)或平衡包络(balanced envelope)是包含S的最小平衡集。它可以由取所有包含S的平衡集的交集所构造出来。
例子
性质
参见
参考文献
- Robertson, A.P.; W.J. Robertson. Topological vector spaces. Cambridge Tracts in Mathematics 53. Cambridge University Press. 1964: 4.
- W. Rudin. Functional Analysis 2nd ed. McGraw-Hill, Inc. 1990. ISBN 0-07-054236-8.
- H.H. Schaefer. Topological Vector Spaces. GTM 3. Springer-Verlag. 1970: 11. ISBN 0-387-05380-8.
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