Strong Whitney convergence

Author:

Caserta Agata1

Affiliation:

1. Department of Mathematics, Seconda Università degli Studi di Napoli, Caserta, Italy

Abstract

The notion of strong uniform convergence on bornologies introduced in 2009. by Beer-Levi turns to give the classical convergence introduced by Arzel? in 1883. Evert in 2003. introduced the notion of Arzel?-Whitney or simply AW-convergence for a net of functions. We define a new type of convergence, a "strong" form of Whitney convergence on bornologies, and we prove that on some families it coincides with that AW-convergence. Furthermore, we study the countability properties of this new function space.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. CLOPEN LINEAR SUBSPACES AND CONNECTEDNESS IN FUNCTION SPACES;Rocky Mountain Journal of Mathematics;2023-10-01

2. Cardinal Functions, Bornologies and Strong Whitney convergence;Bulletin of the Belgian Mathematical Society - Simon Stevin;2022-12-20

3. Strong Whitney convergence on bornologies;Filomat;2022

4. Strong Whitney and strong uniform convergences on a bornology;Journal of Mathematical Analysis and Applications;2022-01

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