Abstract
We obtain upper and lower bounds for the $A$-numerical radius inequalities of operators and operator matrices which generalize and improve on the existing ones. We present new upper bounds for the $A$-numerical radius of the product of two operators. We also develop various inequalities for the $A$-numerical radius of $2 \times 2 $ operator matrices.
Funding Statement
Mr. Raj Kumar Nayak and Mr. Pintu Bhunia would like to thank UGC, Govt. of India for the financial support in the form of Senior Research Fellowship under the mentorship of Prof. Kallol Paul.
Citation
Raj Kumar NAYAK. Pintu BHUNIA. Kallol PAUL. "Improvements of $A$-numerical radius bounds." Hokkaido Math. J. 52 (3) 517 - 544, October 2023. https://doi.org/10.14492/hokmj/2022-603
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