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

共 50 条

[31] CHARACTERIZATION OF RELATIVELY DEMICOMPACT OPERATORS BY MEANS OF MEASURES OF NONCOMPACTNESS
Jeribi, Aref
Krichen, Bilel
Salhi, Makrem
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (04) : 877 - 895
[32] SOME PROPERTIES OF THE SET AND BALL MEASURES OF NONCOMPACTNESS AND APPLICATIONS
BENAVIDES, TD
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 34 : 120 - 128
[33] MEASURES OF NONCOMPACTNESS AND NORMAL STRUCTURE IN BANACH-SPACES
GARCIAFALSET, J
JIMENEZMELADO, A
LLORENSFUSTER, E
STUDIA MATHEMATICA, 1994, 110 (01) : 1 - 8
[34] Measures of noncompactness for fuzzy sets in fuzzy topological spaces
Ban, AI
Gal, SG
FUZZY SETS AND SYSTEMS, 2000, 109 (02) : 205 - 216
[35] ABSTRACT MEASURES OF NONCOMPACTNESS AND FIXED POINTS FOR NONLINEAR MAPPINGS
Ariza-Ruiz, David
Carcia-Falset, Jesus
FIXED POINT THEORY, 2020, 21 (01): : 47 - 65
[36] Generalized measures of noncompactness of sets and operators in Banach spaces
E. Brandani da Silva
D. L. Fernandez
Acta Mathematica Hungarica, 2010, 129 : 227 - 244
[37] Radon-Nikodym indexes and measures of weak noncompactness
Cascales, B.
Perez, A.
Raja, M.
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (10) : 3830 - 3858
[38] MEASURES OF NONCOMPACTNESS AND FIXED-POINTS OF RANDOM OPERATORS
CHANDRASEKHARAN, PS
BHARUCHAREID, AT
STOCHASTIC ANALYSIS AND APPLICATIONS, 1984, 2 (04) : 423 - 430
[39] Measures of noncompactness in the space of regulated functions on an unbounded interval
Dudek, Szymon
Olszowy, Leszek
ANNALS OF FUNCTIONAL ANALYSIS, 2022, 13 (04)
[40] INTERPOLATED FIR FILTERS BASED ON THE CYCLOTOMIC POLYNOMIALS.
Kikuchi, Hisakazu
Abe, Yoshito
Watanabe, Hiromichi
Yanagisawa, Takeshi
Transactions of the Institute of Electronics, Information and Communication Engineers, Section E (, 1987, E70 (10): : 928 - 937

← 1 2 3 4 5 →