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Hypo-q-Norms on Cartesian Products of Algebras of Bounded Linear Operators on Hilbert Spaces
Version 1
: Received: 4 December 2017 / Approved: 4 December 2017 / Online: 4 December 2017 (05:43:58 CET)
How to cite: Dragomir, S. S. Hypo-q-Norms on Cartesian Products of Algebras of Bounded Linear Operators on Hilbert Spaces. Preprints 2017, 2017120016. https://doi.org/10.20944/preprints201712.0016.v1 Dragomir, S. S. Hypo-q-Norms on Cartesian Products of Algebras of Bounded Linear Operators on Hilbert Spaces. Preprints 2017, 2017120016. https://doi.org/10.20944/preprints201712.0016.v1
Abstract
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear operators on Hilbert spaces. A representation of these norms in terms of 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. Several bounds for the norms δp, ϑp and the real norms ηr,p and θr,p are provided as well.
Keywords
Hilbert spaces; bounded linear operators; operator norm and numerical radius; n-tuple of operators; operator inequalities
Subject
Computer Science and Mathematics, Mathematics
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.
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