Some inner product inequalities with applications to numerical radius inequalities

Volume 38, Issue 1, pp 16--24 https://dx.doi.org/10.22436/jmcs.038.01.02

Publication Date: November 21, 2024 Submission Date: July 17, 2024 Revision Date: September 15, 2024 Accteptance Date: September 29, 2024

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Authors

F. Alrimawi - Department of Basic Sciences, Al-Ahliyya Amman University, Amman, Jordan.

Abstract

In this article, we introduce some inner product inequalities for operators involving the Cartesian decomposition of the operator. We employ the obtained results to get norm and numerical radius inequalities that extend and improve some earlier inequalities.

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Keywords

• Numerical radius
• operator norm
• inner product
• Cartesian decomposition

MSC

•  15A60
•  47A12
•  47A30
•  47A50
•  47B15

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