Measures of noncompactness of interpolated polynomials

被引：0

作者：

Mastylo, Mieczyslaw ^{[1
]}

da Silva, Eduardo Brandani ^{[2
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

[2] Univ Estadual Maringa UEM, Dept Matemat, Ave Colombo 5790, BR-870300110 Maringa, PR, Brazil

来源：

FORUM MATHEMATICUM | 2023年 / 35卷 / 02期

关键词：

Measure of noncompactness; multilinear operators and polynomials; compact polynomials; interpolation methods;

D O I：

10.1515/forum-2022-0169

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study interpolation of the measure of noncompactness of homogeneous polynomials on Banach spaces. We prove that, for a large class of interpolation functors, preserving interpolation of measures of noncompactness of interpolated linear operators between Banach couples can be lifted to polynomials. As an application, we show that the measure of noncompactness of polynomials behaves well under the real method of interpolation.

引用

页码：487 / 505

页数：19

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