STRATIFICATIONS OF THE RAY SPACE OF A TROPICAL QUADRATIC FORM BY CAUCHY–SCHWARTZ FUNCTIONS

Zur Izhakian, Manfred Knebusch

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

Classes of an equivalence relation on a module V over a supertropical semiring, called rays, carry the underlying 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 the 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 better understand geometric properties.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)531-558
عدد الصفحات28
دوريةElectronic Journal of Linear Algebra
مستوى الصوت38
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2022

All Science Journal Classification (ASJC) codes

  • !!Algebra and Number Theory

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