2020/06/09 by Aniket Bhanja, Pintu Bhunia, Bhanja, Aniket +3
Computer Science · Mathematics · #46C05 #47A50 #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Primary 47A12 #Secondary 47A30
paper · pdf · doi:10.48550/arxiv.2006.05069
openalex publication_date 2020/06/09 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Let A be a positive (semidefinite) operator on a complex Hilbert space\n\H and let mathbbA=\( n A · amp; O\n O · amp; A\n ). We obtain upper and lower bounds for the\nA-Davis-Wielandt radius of semi-Hilbertian space operators, which generalize\nand improve on the existing ones. We also obtain upper bounds for the\n mathbbA-Davis-Wielandt radius of 2 \× 2 operator matrices. Finally,\nwe determine the exact value for the mathbbA-Davis-Wielandt radius of two\noperator matrices \(\I · amp; X
0 · amp; 0 )\nand \(\0 · amp; X
0 · amp; 0 ), where X is a\nsemi-Hilbertian space operator.\n