Quotients, $\ell_\infty$ and abstract Ces\`aro spaces

Autor: Kiwerski, Tomasz, Kolwicz, Paweł, Tomaszewski, Jakub
Rok vydání: 2021
Předmět:
Zdroj: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas RACSAM 116 (2022)
Druh dokumentu: Working Paper
DOI: 10.1007/s13398-022-01245-1
Popis: Investigating some re-arrangement properties of the norm in the quotient spaces $X/X_a$ we determine the properties of the spaces $X$ guaranteeing the existence of a lattice isometric copy of $\ell_\infty$ in the abstract Ces\`aro spaces $CX$.
Comment: 26 pages
Databáze: arXiv