RT Journal Article T1 Norm-attaining polynomials and differentiability. A1 Ferrera Cuesta, Juan 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 those properties for some classical Banach spaces. PB Polish Acad Sciencies Inst Mathematics SN 0039-3223 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/57243 UL https://hdl.handle.net/20.500.14352/57243 LA eng DS Docta Complutense RD 8 abr 2025