Compactness and $s$-numbers for polynomials

Erhan Çalışkan; Pilar Rueda

doi:10.4171/rlm/795

JournalsrlmVol. 29, No. 1pp. 93–107

Compactness and $s$ -numbers for polynomials

Erhan Çalışkan
Istanbul University, Vezneciler, Istanbul, Turkey
- zbMATH Open
Pilar Rueda
Universitat de Valencia, Burjassot, Spain
- MathSciNet
- zbMATH Open

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Abstract

We extend the measure of non compactness notion to the polynomial setting by means of Approximation, Kolmogorov and Gelfand numbers, that are introduced for homogeneous polynomials. As an application, we study diagonal polynomials between sequence spaces.

Cite this article

Erhan Çalışkan, Pilar Rueda, Compactness and $s$ -numbers for polynomials. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 1, pp. 93–107

DOI 10.4171/RLM/795