Classical vs. non-Archimedean analysis: an approach via algebraic genericity
نویسندگان
چکیده
Abstract In this paper, we show new results and improvements of the non-Archimedean counterpart classical analysis in theory lineability. Besides analyzing algebraic genericity sets functions having properties regarding continuity, discontinuity, Lipschitzianity, differentiability analyticity, also study lineability sequences concerning boundedness convergence. particular (among several other results) of: (i) that do not satisfy Liouville’s theorem, (ii) theorem Cèsaro, or (iii) functionals Hahn–Banach theorem.
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ژورنال
عنوان ژورنال: Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas
سال: 2022
ISSN: ['1578-7303', '1579-1505']
DOI: https://doi.org/10.1007/s13398-022-01209-5