Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces (2508.15686v1)

Published 21 Aug 2025 in math.FA

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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