Randomized trial examines new Banach sequence spaces and their properties, suggesting innovative mathematical frameworks.
In this study, we introduce new Banach sequence spaces ℓ pΨq, ℓ 8 pΨq, 0 pΨq, and pΨq, defined via a regular infinite matrix Ψ " pΨ q, whereand tΨ u denotes the Bronze Leonardo number sequence.We examine the fundamental properties of these spaces, particularly their topological structure.In addition, we construct Schauder bases for these new sequence spaces and present several results concerning their operator ideals.
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Shah et al. (2026) studied this question.
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