Hypo-q-norms on a cartesian product of algebras of operators on Banach spaces

Silvestru Sever Dragomir

Published: 2020-02-01

Vol. 34 No. 2 (2020)

Hypo-q-norms on a cartesian product of algebras of operators on Banach spaces

Silvestru Sever Dragomir

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.

Keywords:

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

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Dragomir, S. S. (2020). Hypo-q-norms on a cartesian product of algebras of operators on Banach spaces. Annales Mathematicae Silesianae, 34(2), 169–192. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13610

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Vol. 34 No. 2 (2020)
Published: 2020-09-01

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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