2026-06-28T10:36:11Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/715382023-08-25T14:21:18Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Fernández Sánchez, J.
author
Maghsoudi, S.
author
Rodríguez-Vidanes, D.L.
author
Seoane Sepúlveda, Juan Benigno
2023-06-22T10:44:02Z
2023-06-22T10:44:02Z
2022-01-29
1578-7303
10.1007/s13398-022-01209-5
https://hdl.handle.net/20.500.14352/71538
https://doi.org/10.1007/s13398-022-01209-5
In this paper, we show new results and improvements of the non-Archimedean counterpart of classical analysis in the theory of lineability. Besides analyzing the algebraic genericity of sets of functions having properties regarding continuity, discontinuity, Lipschitzianity, differentiability and analyticity, we also study the lineability of sets of sequences having properties concerning boundedness and convergence. In particular we show (among several other results) the algebraic genericity of: (i) functions that do not satisfy Liouville’s theorem, (ii) sequences that do not satisfy the classical theorem of Cèsaro, or (iii) functionals that do not satisfy the classical Hahn–Banach theorem.
eng
Atribución 3.0 España
Classical vs. non-Archimedean analysis: an approach via algebraic genericity
journal article
URL
https://docta.ucm.es/bitstreams/4e79627f-fc5c-4a6f-a917-425e1138b7ff/download
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8360322c4ad8ac800db8710b510478d0
510851
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Fernández-Sánchez2022_Article_ClassicalVsNon-ArchimedeanAnal.pdf