<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we consider the hypo-<italic>q</italic>-operator norm and hypo-<italic>q-</italic>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 <italic>q</italic>-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given.</p></abstract>

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.

Hypo-<italic>q</italic>-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

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....

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

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
normed spaces, cartesian products of normed spaces, inequalities, reverse inequalities, Shisha-Mond type inequalities

© 2020 Silvestru Sever Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

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

Keywordsnormed spaces, cartesian products of normed spaces, inequalities, reverse inequalities, Shisha-Mond type inequalities

© 2020 Silvestru Sever Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
normed spaces, cartesian products of normed spaces, inequalities, reverse inequalities, Shisha-Mond type inequalities