@misc{10481/32997, year = {2009}, url = {http://hdl.handle.net/10481/32997}, abstract = {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).}, organization = {The authors were supported by MEC (Spain) Grant MTM2006-04837 and Junta de Andalucía Grants FQM-185 and Proyecto de Excelencia P06-FQM-01438.}, publisher = {Tusi Mathematical Research Group}, keywords = {Rotations of the sphere}, keywords = {Automatic continuity}, keywords = {N-set}, keywords = {Dirichlet set}, keywords = {Strong Kazhdan's property}, keywords = {Uniqueness of norm}, title = {Uniqueness of rotation invariant norms}, author = {Alaminos Prats, Jerónimo and Extremera Lizana, José and Villena Muñoz, Armando}, }