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arXiv · 2508.15686

Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces

Renan J. S. Isneri·Josias V. Baca·Lucas M. Fernandes
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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.

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Renan J. S. Isneri, Josias V. Baca, Lucas M. Fernandes. 2025-08-21. Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces. https://arxiv.org/abs/2508.15686

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