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  • Induced quadratic modules
    Cimprič, Jaka ; Savchuk, Yurii, 1983-
    Positivity in ▫$\ast$▫-algebras can be defined either algebraically, by quadratic modules, or analytically, by ▫$\ast$▫-representations. By the induction procedure for ▫$\ast$▫-representations we can ... lift the analytical notion of positivity from a ▫$\ast$▫-subalgebra to the entire ▫$\ast$▫-algebra. The aim of this paper is to define and study the induction procedure for quadratic modules. The main question is when a given quadratic module on the ▫$\ast$▫-algebra is induced from its intersection with the ▫$\ast$▫-subalgebra. This question is very hard even for the smallest quadratic module (i.e. the set of all sums of hermitian squares) and will be answered only in very special cases.
    Vir: Communications in algebra. - ISSN 0092-7872 (Vol. 43, iss. 10, 2015, str. 4181-4208)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 17427289

vir: Communications in algebra. - ISSN 0092-7872 (Vol. 43, iss. 10, 2015, str. 4181-4208)
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