Year: 2024
Type: article
Abstract: We initiate studies of a new classical characterization of absolute continuity which promises to be invaluable in studies and further generalizations of nonclassical characterizations of absolute continuity in diversely more general function spaces. Our main objective is showing that our newer characterization for absolute continuity includes Riesz characterization in Lp−spaces (p>1) by allowing the situation p≥ 1. Our method also enriches studies of connection between absolute continuity and rapidly Cauchy sequences.
Authors: X. Udo-Utun, U. Johnson, U. Edet
Institution: University of Uyo
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402492187