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

Silvestru Sever Dragomir

doi:10.2478/amsil-2019-0014

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

Annales Mathematicae Silesianae

Volume 34 (2020): Issue 2 (September 2020)

By: Silvestru Sever Dragomir

Open Access

|Feb 2020

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2019-0014 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 169 - 192

Submitted on: Mar 4, 2019

Accepted on: Dec 1, 2019

Published on: Feb 1, 2020

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

normed spaces,

cartesian products of normed spaces,

inequalities,

reverse inequalities,

Shisha-Mond type inequalities

Related subjects:

Mathematics,

General mathematics

© 2020 Silvestru Sever Dragomir, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 34 (2020): Issue 2 (September 2020)