Version 1
: Received: 19 December 2017 / Approved: 19 December 2017 / Online: 19 December 2017 (10:31:23 CET)
How to cite:
Dragomir, S.S. Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces. Preprints2017, 2017120136. https://doi.org/10.20944/preprints201712.0136.v1.
Dragomir, S.S. Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces. Preprints 2017, 2017120136. https://doi.org/10.20944/preprints201712.0136.v1.
Cite as:
Dragomir, S.S. Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces. Preprints2017, 2017120136. https://doi.org/10.20944/preprints201712.0136.v1.
Dragomir, S.S. Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces. Preprints 2017, 2017120136. https://doi.org/10.20944/preprints201712.0136.v1.
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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
