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.
@article{MZM_1975_18_6_a13,
author = {M. M. Fel'dman},
title = {Traces of norms on a~cone},
journal = {Matemati\v{c}eskie zametki},
pages = {909--920},
publisher = {mathdoc},
volume = {18},
number = {6},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a13/}
}
M. M. Fel'dman. Traces of norms on a~cone. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 909-920. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a13/