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 -numbers for polynomials. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 1, pp. 93–107DOI 10.4171/RLM/795