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Negative / Null Result ReportOpen accessMathematics

A Quest for Convergence: Exploring Series in Non-Linear Environments

Geivison Ribeiro · 2024 · arXiv

WASTE classifies this as Negative / Null Result Report · AI classification, approximate

The study found no significant effect — useful as a negative control or null benchmark for your own design.

Abstract (excerpt)

This note presents an extension of a result within the concept of [S]-lineability, originally developed in 2019 by L. Bernal-González, J.A. Conejero, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda . Additionally, we provide a characterization in terms of lineability in the context of complements of unions of closed subspaces in F-spaces, and finally, we present a negative result in both normed spaces and p-Banach spaces. These findings contribute to the understanding of linearity in exotic settings in topological vector spaces.

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Metadata source: arXiv