UNIQUENESS OF ROTATION INVARIANT NORMS

被引：1
|
作者：
Alaminos, J. [1 ]
Extremera, J. [1 ]
Villena, A. R. [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2009年 / 3卷 / 01期
关键词：
Automatic continuity; Dirichlet set; N-set; rotations of the sphere; strong Kazhdan's property; uniqueness of norm;
D O I：
10.15352/bjma/1240336426
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If N >= 2, then there exist finitely many rotations of the sphere S-N such that the set of the corresponding rotation operators on L-p(S-N) determines the norm topology for 1 < p <= infinity. For N = 1 the situation is different: the norm topology of L-2(S-1) cannot be determined by the set of operators corresponding to the rotations by elements of any 'thin' set of rotations of S-1.
引用
收藏
页码：85 / 98
页数：14
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