摘要:In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of boundedlinear operators on Hilbert spaces. A representation of these norms in terms of inner products, theequivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via thescalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given. Several bounds for thenorms p, #p and the real norms r;p and r;p are provided as well.
关键词:Hilbert spaces; bounded linear operators; operator norm and numerical radius; n-tuple;of operators; operator inequalities.