Traces of norms on a cone
Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 909-920
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We characterize the trace of a seminorm (norm) on a cone; we show that the linearly ordered set of seminorms with a given trace on a reproducing cone form a complete lattice. We obtain conditions for the existence of an adjoint seminorm and for the equivalence of norms with a given trace.