New Reverse Inequalities for the Numerical Radius of Normal Operators in Hilbert Spaces

Abstract

In this paper, more inequalities between the operator norm and its numerical radius, for the class of normal operators, are established. Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the author.

arXiv commentThers era some typos that invalidate the main results

References in corpus (3)

• Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
• New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
• Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-McLenaghan Result