English

Generalizations of bornological convergence and convergence of partial maps via ideal

Functional Analysis 2020-07-23 v1

Abstract

In this paper using the notion of an ideal I on a directed set, we extend the notion of convergence of nets of partial maps to the notions of I-convergence ( or filter convergence) of nets of partial maps and I*- convergence of nets of partial maps.

Keywords

Cite

@article{arxiv.2007.11370,
  title  = {Generalizations of bornological convergence and convergence of partial maps via ideal},
  author = {Prasanta Malik and Argha Ghosh},
  journal= {arXiv preprint arXiv:2007.11370},
  year   = {2020}
}