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
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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