A convex treatment of numerical radius inequalities

Zahra Heydarbeygi; Mohammad Sababheh; Hamid Moradi

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 2, page 601-614
  • ISSN: 0011-4642

Abstract

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We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining new forms that generalize and extend some well known results in the literature, with an application to the newly defined generalized numerical radius. We emphasize that the approach followed in this article is different from the approaches used in the literature to obtain such versions.

How to cite

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Heydarbeygi, Zahra, Sababheh, Mohammad, and Moradi, Hamid. "A convex treatment of numerical radius inequalities." Czechoslovak Mathematical Journal 72.2 (2022): 601-614. <http://eudml.org/doc/298304>.

@article{Heydarbeygi2022,
abstract = {We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining new forms that generalize and extend some well known results in the literature, with an application to the newly defined generalized numerical radius. We emphasize that the approach followed in this article is different from the approaches used in the literature to obtain such versions.},
author = {Heydarbeygi, Zahra, Sababheh, Mohammad, Moradi, Hamid},
journal = {Czechoslovak Mathematical Journal},
keywords = {numerical radius; operator norm; mixed Schwarz inequality},
language = {eng},
number = {2},
pages = {601-614},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A convex treatment of numerical radius inequalities},
url = {http://eudml.org/doc/298304},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Heydarbeygi, Zahra
AU - Sababheh, Mohammad
AU - Moradi, Hamid
TI - A convex treatment of numerical radius inequalities
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 2
SP - 601
EP - 614
AB - We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining new forms that generalize and extend some well known results in the literature, with an application to the newly defined generalized numerical radius. We emphasize that the approach followed in this article is different from the approaches used in the literature to obtain such versions.
LA - eng
KW - numerical radius; operator norm; mixed Schwarz inequality
UR - http://eudml.org/doc/298304
ER -

References

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