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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

Silvestru Sever Dragomir

Silvestru Sever Dragomir

Mathematics, College of Engineering & Science, Victoria University, DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the WitwatersrandMelbourne City,
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Dragomir, Silvestru Sever
  
01 févr. 2020
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Publié en ligne: 01 févr. 2020
Pages: 169 - 192
Reçu: 04 mars 2019
Accepté: 01 déc. 2019
DOI: https://doi.org/10.2478/amsil-2019-0014
Mots clés
© 2020 Silvestru Sever Dragomir, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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.

Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathématiques, Mathématiques générales
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