RT Journal Article
T1 On interpolation of bilinear operators by methods associated to polygons
A1 Cobos Díaz, Fernando
A1 Cordeiro, José María
A1 Martínez, Antón
AB 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.
PB Unione matematica italiana
SN 0041-7084
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57312
UL https://hdl.handle.net/20.500.14352/57312
LA eng
NO Dirección General de Investigación Científica y Técnica (España)
DS Docta Complutense
RD 10 may 2025