Uniqueness of rotation invariant norms Alaminos Prats, Jerónimo Extremera Lizana, José Villena Muñoz, Armando Rotations of the sphere Automatic continuity N-set Dirichlet set Strong Kazhdan's property Uniqueness of norm 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). 2014-09-12T09:07:15Z 2014-09-12T09:07:15Z 2009 info:eu-repo/semantics/article Alaminos, J.; Extremera, J.; Villena, A.R. Uniqueness of rotation invariant norms. Banach Journal fo Mathematical Analysis, 3(1): 85-98 (2009). [http://hdl.handle.net/10481/32997] 1735-8787 http://hdl.handle.net/10481/32997 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Tusi Mathematical Research Group