Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces
Functional Analysis
2025-08-22 v1
Abstract
This work explores the interaction between different norms in infinite-dimensional vector spaces, focusing on their impact on Banach space structures and topological properties. We examine norms induced by bijective linear maps, the existence of non-equivalent norms in Banach spaces, and the role of Hamel bases in normed spaces.
Keywords
Cite
@article{arxiv.2508.15686,
title = {Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces},
author = {Renan J. S. Isneri and Josias V. Baca and Lucas M. Fernandes},
journal= {arXiv preprint arXiv:2508.15686},
year = {2025}
}