The unit ball of P(2l22)

被引：53

作者：

Choi, YS ^{[1
]}

Kim, SG ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang, South Korea

来源：

ARCHIV DER MATHEMATIK | 1998年 / 71卷 / 06期

关键词：

Hilbert Space; Extreme Point; Unit Ball; Explicit Formula; Unit Sphere;

D O I：

10.1007/s000130050292

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify extreme points and smooth points of the unit ball of the space P((2)l(2)(2)) Of all 2-homogeneous polynomials on the 2-dimensional real Hilbert space l(2)(2) and show that the unit sphere of P((2)l(2)(2)) is the disjoint union of the set of extreme points of its unit ball and the set of smooth ones We also obtain explicit formulas for the norm of f epsilon P((2)l(p)(2))*(p = 1, 2, infinity).

引用

页码：472 / 480

页数：9