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On interpolation of bilinear operators by methods associated to polygons Cobos Díaz, Fernando Cordeiro, José María Martínez, Antón 519.6 Behaviour of bilinear operators under interpolation Methods defined by polygons Combination of the K- and J-methods Análisis numérico 1206 Análisis Numérico 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. Dirección General de Investigación Científica y Técnica (España) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE inpress 2023-06-20T16:52:50Z 2023-06-20T16:52:50Z 1999 journal article https://hdl.handle.net/20.500.14352/57312 0041-7084 eng PB94-0252 restricted access application/pdf Unione matematica italiana