期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
On Ordinary and Standard Products of Infinite Family of σ-finite Measures and Some of Their Applications
1
作者 Gogi Rauli PANTSULAIA 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第3期477-496,共20页
We introduce notions of ordinary and standard products of a-finite measures and prove their existence. This approach allows us to construct invariant extensions of ordinary and standard products of Haar measures. In p... We introduce notions of ordinary and standard products of a-finite measures and prove their existence. This approach allows us to construct invariant extensions of ordinary and standard products of Haar measures. In particular, we construct translation-invariant extensions of ordinary and standard Lebesgue measures on R∞ and Rogers-Fremlin measures on l∞, respectively, such that topological weights of quasi-metric spaces associated with these measures are maximal (i.e., 2c). We also solve some Fremlin problems concerned with an existence of uniform measures in Banach spaces. 展开更多
关键词 Ordinary and standard products of a-finite measures invariant extensions rogers-fremlin measures on l∞
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部