INTERPOLATION OF THE MEASURE OF NONCOMPACTNESS OF BILINEAR OPERATORS

被引：12
|
作者：
Mastylo, Mieczyslaw [1 ]
Silva, Eduardo B. [2 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
[2] Univ Estadual Maringa, Dept Matemat, BR-87030011 Maringa, Parana, Brazil
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 12期
关键词：
Measure of noncompactness; bilinear compact operators; interpolation functor; interpolation spaces; ARONSZAJN-GAGLIARDO FUNCTORS; REAL METHOD; COMPACT-OPERATORS; PEETRE;
D O I：
10.1090/tran/7501
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：8979 / 8997
页数：19
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