Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/10322
Title: | Hypo-q-norms on cartesian products of algebras of bounded linear operators on Hilbert spaces |
Authors: | Dragomir, S.S. |
Keywords: | Hilbert spaces;Bounded linear operators;Operator norm and numerical radius;Operator inequalities;n-tuple of operators;Espacios de Hilbert;Operadores lineales acotados;Norma de operador y radio numérico;n-tupla de operadores;Desigualdades de operador |
Issue Date: | 2019 |
Publisher: | Universidad de Extremadura |
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 , Vₚ and the real norms ƞᵣ ,ₚ and ϴᵣ, ₚ are provided as well. |
URI: | http://hdl.handle.net/10662/10322 |
DOI: | 10.17398/2605-5686.34.2.201 |
Appears in Collections: | Extracta Mathematicae Vol. 34, nº 2 (2019) |
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