TY - JOUR AU - Ferrera Cuesta, Juan PY - 2002 DO - 10.4064/sm151-1-1 SN - 0039-3223 UR - https://hdl.handle.net/20.500.14352/57243 T2 - Studia Mathematica AB - We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study... LA - eng M2 - 1 PB - Polish Acad Sciencies Inst Mathematics KW - Banach spaces KW - Polynomials KW - Norm differentiability KW - Shmul'yans's test KW - Strongly attains its norm KW - Fréchet differentiability KW - Gâteaux differentiability TI - Norm-attaining polynomials and differentiability. TY - journal article VL - 151 ER -