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Interpolation of bilinear operators and compactness (1206.0017v1)

Published 31 May 2012 in math.FA

Abstract: The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's compactness theorems are obtained for the bilinear case and the $\rho$ method.