摘要
本文运用一致凸的Banach空间理论,讨论了Lp空间有界区域的极小半径问题和正交变换群作用的不动点问题,获得L(pΩ)空间的非空有界集一定存在唯一点x0∈Lp(Ω),使得f(x0)=x∈Lp(Ω)inf f(x),利用此结论还得到正交变换群作用在L(pB)空间上存在不动点。
In this paper,we discuss the problem of minimal radius in the non-empty bounded subset of Lp space and fixed point theory of orthogonal group.We show that there exists a unique point x0∈Lp（Ω）,making fx0=x∈Lp（Ω）inff（x）.By applying these result to orthogonal group,we obtain that orthogonal group action on Lp（B） admits a fixed point.
出处
《价值工程》
2011年第21期296-297,共2页
Value Engineering
