English

A Unified Convergence Theorem

Quantum Physics 2018-10-04 v4

Abstract

We prove a unified convergence theorem, which presents in four equivalent forms of the famous Antosik-Mikusinski Theorems. In particular, we show that Swartz' three uniform convergence principles are all equivalent to the Antosik-Mikusinski Theorems.

Cite

@article{arxiv.1711.06817,
  title  = {A Unified Convergence Theorem},
  author = {Junde Wu and Jianwen Luo and Shijie Lu},
  journal= {arXiv preprint arXiv:1711.06817},
  year   = {2018}
}
R2 v1 2026-06-22T22:50:11.470Z