English

Uniform limits of $\mathcal B_1^{**}$-functions

Classical Analysis and ODEs 2023-11-14 v1

Abstract

We characterise the class of uniform limits of functions from Pawlak's class B1\mathcal B_1^{**}. The resulting class uS1u\mathscr S_1, which contains functions with the oscillation rank one, is discussed in connection with its linear span. We apply a general, topological space, setting in our discussion.

Keywords

Cite

@article{arxiv.2006.00050,
  title  = {Uniform limits of $\mathcal B_1^{**}$-functions},
  author = {Piotr Sworowski and Waldemar Sieg},
  journal= {arXiv preprint arXiv:2006.00050},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-23T15:55:09.414Z