TY - JOUR AU - Fernández Sánchez, J. AU - Maghsoudi, S. AU - Rodríguez-Vidanes, D.L. AU - Seoane Sepúlveda, Juan Benigno PY - 2022 DO - 10.1007/s13398-022-01209-5 SN - 1578-7303 UR - https://hdl.handle.net/20.500.14352/71538 T2 - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas AB - 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,... LA - eng PB - Springer Nature KW - P-adic numbers KW - P-adic continuous function KW - P-adic differentiable function KW - P-adic sequences KW - Lineability KW - Algebrability KW - Spaceability KW - Cesàro summable KW - Non-absolutely convergent series KW - Liouville’s theorem KW - Lipschitz condition KW - Hahn–Banach theorem TI - Classical vs. non-Archimedean analysis: an approach via algebraic genericity TY - journal article VL - 116 ER -