Hypo-q-norms on a cartesian product of algebras of operators on Banach spaces
Abstract
In this paper we consider 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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Mathematics, College of Engineering & Science, Victoria University, Australia Australia
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