Stratifications of the ray space of a tropical quadratic form by Cauchy-Schwartz functions
| Autor: | Zur Izhakian, Manfred Knebusch |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Popis: | Classes of an equivalence relation on a module V over a supertropical semiring, called rays, carry the underlaying structure of "supertropical trigonometry" and thereby a version of convex geometry which is compatible with quasilinearity. In this theory the traditional Cauchy-Schwarz inequality is replaced by the CS-ratio which gives rise to special characteristic functions, called CS-functions. These functions partite the ray space Ray(V) into convex sets and establish a main tool for analyzing varieties of quasilinear stars in Ray(V). They provide stratifications of Ray(V) and therefore a finer convex analysis that helps for a better geometric understanding. Comment: 29 pages |
| Databáze: | OpenAIRE |
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