Banach空间的局部一致稳定性和弱局部一致稳定性
Locally Uniformly Stable and W-Locally Uniformly Stable Unit Balls in Banach Spaces
摘要
本文引入Banach空间的局部一致稳定性和弱局部一致稳定性这两个概念,并讨论其性质.
This paper introduces the notions of locall uniform stablity and w- local uniform stabitty of unit balls of Banach spaces and discusses their properties.
关键词
局部一致稳定
弱局部一致稳定
巴拿赫空间
stability
uniform stability
locall uniform stability
w-local uniform stability
strict convexity
uniform convexity
local uniform convexity
w-local uniform wnvexity
参考文献2
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1A. Clausing,S. Papadopoulou. Stable convex sets and extremal operators[J] 1978,Mathematische Annalen(3):193～203
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2Susanne Papadopoulou. On the geometry of stable compact convex sets[J] 1977,Mathematische Annalen(3):193～200
