Measures of noncompactness of interpolated polynomials-Reference-Cited by-同舟云学术

Measures of noncompactness of interpolated polynomials

Published:2022-11-30 Issue:2 Volume:35 Page:487-505
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Mastyło Mieczysław¹,da Silva Eduardo Brandani²

Affiliation:

1. Faculty of Mathematics and Computer Science , Adam Mickiewicz University , Uniwersytetu Poznańskiego 4, 61-614 Poznań , Poland

2. Departamento de Matemática , Universidade Estadual de Maringá–UEM , Av. Colombo 5790 , Maringá - PR, 870300-110 Brazil

Abstract

Abstract 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.

Funder

Narodowe Centrum Nauki

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2022-0169/pdf

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5. S. Dineen, Complex Analysis on Infinite-Dimensional Spaces, Springer Monogr. Math., Springer, London, 1999.