Majorization for Compact and Weakly Compact Polynomials on Banach Lattices

Autor:	Qingying Bu, Yongjin Li
Rok vydání:	2019
Předmět:	Pure mathematics Norm (mathematics) Banach lattice Order (group theory) Majorization Mathematics
Zdroj:	Trends in Mathematics ISBN: 9783030108496
DOI:	10.1007/978-3-030-10850-2_18
Popis:	For Banach lattices E and F, let P, Q : E → F be n-homogeneous polynomials such that 0 ≤ Q ≤ P. We prove that if F has an order continuous norm and P is weakly compact then Q is also weakly compact. We also prove that if F is an atomic Banach lattice with an order continuous norm and P is compact then Q is also compact.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::657f141158cebcde5ae7fda9fa798e4a https://doi.org/10.1007/978-3-030-10850-2_18 Zobrazit plný text záznamu