Submitted:
19 December 2017
Posted:
19 December 2017
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Abstract
In this paper we introduce the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces. A representation of these norms in terms of semi-inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given.
Keywords:
normed spaces
; cartesian products of normed spaces
; inequalities
; reverse inequalities
; shisha-mond type inequalities
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