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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
  
Feb 01, 2020
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Published Online: Feb 01, 2020
Page range: 169 - 192
Received: Mar 04, 2019
Accepted: Dec 01, 2019
DOI: https://doi.org/10.2478/amsil-2019-0014
Keywords
© 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.

Language:
English
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2 times per year
Journal Subjects:
Mathematics, General Mathematics
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