Hypo-q-Norms on a Cartesian Product of Normed Linear Spaces
classification
🧮 math.FA
keywords
cartesianlinearproducthypo-q-normsinequalitiesnormedspacesbirnacki
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In this paper we introduce the hypo-q-norms on a Cartesian product of normed linear spaces. A representation of these norms in terms of bounded linear functionals of norm less than one, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et al. and other Gruss type inequalities are also given.
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