RT Journal Article T1 Some classes of multilinear operators on C(k) spaces A1 Villanueva, Ignacio A1 Bombal Gordón, Fernando A1 Fernández Unzueta, M. AB The authors obtain in this paper a classification of projective tensor products of C(K) spaces, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces, or the verification of certain Banach space properties of the corresponding tensor product. The main tool used is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczy´nski’s (V) properties of the projective tensor product of Banach spaces. Finally, the paper ends with a study of the relationships between some classes of multilinear operators and their linearizations. PB Polish Acad Sciencies Inst Mathematics SN 0039-3223 YR 2001 FD 2001 LK https://hdl.handle.net/20.500.14352/57023 UL https://hdl.handle.net/20.500.14352/57023 LA eng NO DGICYT. NO Conacyt DS Docta Complutense RD 15 may 2024