𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonstandard Methods for Upper Banach Density Problems

✍ Scribed by Renling Jin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
176 KB
Volume
91
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis

A general method is developed by using nonstandard analysis for formulating and proving a theorem about upper Banach density parallel to each theorem about Shnirel'man density or lower asymptotic density.

πŸ“œ SIMILAR VOLUMES

A nonstandard density theorem for weak t
A nonstandard density theorem for weak topologies on Banach and Bochner spaces
✍ Laurent Vanderputten πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 165 KB πŸ‘ 1 views

## Abstract We prove a nonstandard density result. It asserts that if a particular formula is true for functions in a set __K__ of linear continuous functions between Banach spaces __E__ and __D__, then it remains valid for functions that are limits, in the uniform convergence topology on a given c