Diametral diameter two properties in Banach spaces

Autor:	Guerrero, Julio Becerra, Pérez, Ginés López, Zoca, Abraham Rueda
Rok vydání:	2015
Předmět:	Mathematics - Functional Analysis 46B20 46B22
Druh dokumentu:	Working Paper
Popis:	The aim of this note is to provide several variants of the diameter two properties for Banach spaces. We study such properties looking for the abundance of diametral points, which holds in the setting of Banach spaces with the Daugavet property, for example, and we intro- duce the diametral diameter two properties in Banach spaces, showing for these new properties stability results, inheritance to subspaces and characterizations in terms of finite rank projections. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.02061 Zobrazit plný text záznamu View this record from Arxiv