%0 Journal Article
%A Cobos Díaz, Fernando
%A Cordeiro, José María
%A Martínez, Antón
%T On interpolation of bilinear operators by methods associated to polygons
%D 1999
%@ 0041-7084
%U https://hdl.handle.net/20.500.14352/57312
%X The authors investigate the behaviour of bilinear operators under interpolation by the methods associated to polygons. These methods, working with N-tuples (N _ 3) of Banach spaces instead of couples, were introduced by F. Cobos and J. Peetre [Proc. Lond. Math. Soc., III. Ser. 63, 371-400 (1991; Zbl 0727.46053)]. The main properties of methods defined by polygons are summarized and then a bilinear interpolation theorem for a combination of the K- and J-methods is established. Another bilinear interpolation theorem for the J-method is given and a counterexample shows that a similar result fails for the K-method.The final part contains an application to interpolation of operator spaces starting from Banach lattices.
%~