Non-Archimedean Tarski-Maligranda Inequalities
Abstract
In 1930, Tarski observed that align* ||r|-|s||=|r-s|+ |r+s|-(|r|+|s|), ∀ r, s ∈ R. align* In 2008, Maligranda converted the previous equality into inequalities that are valid in every normed linear space. We derive non-Archimedean versions of Tarski-Maligranda inequalities. Difference between Archimedean and non-Archimedean inequalities is surprising.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.