References
- Toeplitz O. Das algebraische Analogon zu einem Satze von Fejér. Math Z. 1918;2:187–197.
- Baklouti H, Feki K. On joint spectral radius of commuting operators in Hilbert spaces. Linear Algebra Appl. 2018;557:455–463.
- Gustafson KE, Rao DKM. Numerical range. New York: Springer-Verlag; 1997.
- Horn RA, Johnson CR. Topics in matrix analysis. New York: Cambridge University Press; 1991.
- Abu-Omar A, Kittaneh F. A generalization of the numerical radius. Linear Algebra Appl. 2019;569:323–334.
- Bhunia P, Paul K. Some improvements of numerical radius inequalities of operators and operator matrices. Linear Multilinear Algebra. 2020. DOI:10.1080/03081087.2020.1781037
- Chandra Rout N, Sahoo S, Mishra D. Some A-numerical radius inequalities for semi-Hilbertian space operators. Linear Multilinear Algebra. 2021;69:980–996.
- Zamani A. Characterization of numerical radius parallelism in C∗-algebras. Positivity. 2019;23:397–411.
- Zamani A, Wójcik P. Another generalization of the numerical radius for Hilbert space operators. Linear Algebra Appl. 2021;609:114–128.
- Davis C. The shell of a Hilbert space operator. Acta Sci Math (Szeged). 1968;29:69–86.
- Wielandt H. On eigenvalues of sums of normal matrices. Pacific J Math. 1955;5:633–638.
- Au-Yeung YH, Tsing NK. An extension of the Hasdorff-Toeplitz theorem on the numerical range. Proc Amer Math Soc. 1983;89:215–218.
- Feki K, Sid Ahmed OAM. Davis-Wielandt shells of semi-Hilbertian space operators and its applications. Banach J Math Anal. 2020;14:1281–1304.
- Li C-K, Poon YT. Spectrum, numerical range and Davis-Wielandt shell of a normal operator. Glasgow Math J. 2009;51:91–100.
- Li C-K, Poon YT, Sze NS. Davis-Wielandt shells of operators. Oper Matrices. 2008;2:341–355.
- Lins B, Spitkovsky IM, Zhong S. The normalized numerical range and the Davis-Wielandt shell. Linear Algebra Appl. 2018;546:187–209.
- Zamani A, Moslehian MS, Chien M-T, et al. Norm-parallelism and the Davis-Wielandt radius of Hilbert space operators. Linear Multilinear Algebra. 2019;67:2147–2158.
- Zamani A, Shebrawi K. Some upper bounds for the Davis-Wielandt radius of Hilbert space operators. Mediterr J Math. 2020;17:1–13.
- Alomari MW. On the Davis-Wielandt radius inequalities of Hilbert space operators. 2020 Aug 3. arXiv:2008.00758 [math.FA].
- Bhunia P, Bhanja A, Bag S, et al. Bounds for the Davis-Wielandt radius of bounded linear operators. Ann Funct Anal. 2021;12:1–23.
- Bhunia P, Bhanja A, Paul K. New inequalities for Davis-Wielandt radius of Hilbert space operators. Bull Malays Math Sci Soc. 2021;44:3523–3539.
- Hajmohamadi M, Lashkaripour R, Bakherad M. Some generalizations of numerical radius on off-diagonal part of 2×2 operator matrices. J Math Inequal. 2018;12:447–457.
- Bani-Domi W. Some general numerical radius inequalities for the off-diagonal parts of 2×2 operator matrices. Ital J Pure Appl Math. 2015;35:433–442.
- Bakherad M, Shebrawi K. Upper bounds for numerical radius inequalities involving off-diagonal operator matrices. Ann Funct Anal. 2018;9:297–309.
- Hardy GH, Littlewood JE, Pólya G. Inequalities. 2nd ed. Cambridge: Cambridge Univ. Press; 1988.
- Kittaneh F. Notes on some inequalities for Hilbert space operators. Publ Res Inst Math Sci. 1988;24:283–293.
- Buzano ML. Generalizzazione della diseguaglianza di Cauchy-Schwarz. Rend Sem Mat Univ e Politech Torino. 1974;31:405–409.
- Al-Manasrah Y, Kittaneh F. A generalization of two refined Young inequalities. Positivity. 2015;19:757–768.