1) strongly extreme points
强端点
1.
For Orlicz-Bochner sequence spaces with Luxemburg norm,the (criteria) of the strongly extreme points and mid-point locally uniformly rotundity have been given.
给出了赋Luxemburg范数的Orlicz-Bochner序列空间强端点和中点局部一致凸的判别条件。
2.
Extreme points, strongly extreme points and nonsquareness are important geometric properties in Orlicz spaces, and they have close connections with convexity, flatness and reflexity.
端点、强端点及非方性是Orlicz空间中的重要的几何概念,它与凸性、平坦性和自反性有着紧密的联系。
2) Strong extreme point
强端点
1.
This article has proved that the strong extreme points f(Z)=I+B(n)Z ̄n+B(n+1)Z ̄(n+1)+…of P(△),must not have the following property;B(n)=B(n)and B(n)is an invertible opera-tor.
本文首先引进了单位园△上算子值解析函数族:P(△)={f(Z),f(Z)=I+B(I)Z+B(2)Z ̄2+…在△内解析,且Ref(Z)>0,B(n)为Hilbert空间H上的正规算子,n=1,2…}的强端点的概念,然后指出P(△)中形如I+B(n)Z ̄n+B(n+1)Z ̄(n+1)+…的元素成X_1P(△)的一个强端点的必要条件为B(n)不是自伴可逆算子。
3) strongly extreme point
强端点
1.
Extreme and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm
赋广义Orlicz范数的Orlicz序列空间的端点和强端点
2.
The criterion for strongly extreme points in the Orlicz function space with generalized Orlicz norm is given.
给出了赋广义Orlicz范数的Orlicz函数空间的强端点的判别准则,并据此得到了Orlicz函数空间关于广义Orlicz范数中点局部一致凸的条件。
4) k-strongly extreme point
k-强端点
1.
In this paper, we prove that a k-extreme point(k-strongly extreme point) of the unit sphere in Banach spaces must be a(k+1)-extreme point((k+1)-strongly extreme point).
证明了Banach空间单位球面上的k-端点(k-强端点)必为(k+1)—端点((k+1)—强端点),给出了赋Luxemburg范数的Orlicz空间单位球k—端点(k—强端点)的判据,并据此得到了赋Luxemburg范数Orlicz空间是K严格凸和中点局部K一致凸的条件。
5) complex strongly extreme points
复强端点
6) beam-end stiffenered connection
梁端加强式节点
补充资料:椐椐强强
1.相随貌。
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