Interpolation of the measure of noncompactness of bilinear operators

Mastyło, Mieczysław; Silva, Eduardo B.

doi:10.1090/tran/7501

Interpolation of the measure of noncompactness of bilinear operators
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by Mieczysław Mastyło and Eduardo B. Silva PDF

Trans. Amer. Math. Soc. 370 (2018), 8979-8997 Request permission

Abstract:

We study interpolation of the measure of noncompactness of bilinear operators. We prove a result of a general nature which states that for a large class of interpolation functors preserving bilinear interpolation estimates of measures of noncompactness of interpolated linear operators between Banach couples can be lifted to bilinear operators. As an application, we show that the measure of noncompactness of bilinear operators behave well under the real method of interpolation.

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