On Egorov's Theorem for Infinite Measure

TL;DR

This paper presents a straightforward proof of Egorov's theorem specifically adapted for the context of infinite measure spaces, expanding the theorem's applicability.

Contribution

It introduces a simplified proof of Egorov's theorem tailored for infinite measure, which was previously more complex or less accessible.

Findings

Provides a clear, concise proof of Egorov's theorem for infinite measure

Enhances understanding of measure convergence in infinite measure spaces

Potentially facilitates further research in ergodic theory

Abstract

A simple proof of Egorov's theorem for infinite measure is given