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Articles

On 𝔸-numerical radius inequalities for 2 × 2 operator matrices

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Pages 2672-2692 | Received 08 Jun 2020, Accepted 28 Jul 2020, Published online: 06 Sep 2020

References

  • Zamani A. A-numerical radius inequalities for semi-Hilbertian space operators. Linear Algebra Appl. 2019;578:159–183. doi: 10.1016/j.laa.2019.05.012
  • Douglas RG. On majorization, factorization, and range inclusion of operators on Hilbert space. Proc Amer Math Soc. 1966;17:413–415. doi: 10.1090/S0002-9939-1966-0203464-1
  • Manuilov V, Moslehian MS, Xu Q. Douglas factorization theorem revisited. Proc Amer Math Soc. 2020;148:1139–1151. doi: 10.1090/proc/14757
  • Arias ML, Corach G, Gonzalez MC. Partial isometries in semi-Hilbertian spaces. Linear Algebra Appl. 2008;428:1460–1475. doi: 10.1016/j.laa.2007.09.031
  • Moslehian MS, Kian M, Xu Q. Positivity of 2×2 block matrices of operators. Banach J Math Anal. 2019;13:726–743. doi: 10.1215/17358787-2019-0019
  • Nashed MZ. Generalized inverses and applications. New York: Academic Press; 1976.
  • Bakherad M, Shebrawi K. Upper bounds for numerical radius inequalities involving off-diagonal operator matrices. Ann Funct Anal. 2018;9:297–309. doi: 10.1215/20088752-2017-0029
  • Hirzallah O, Kittaneh F, Shebrawi K. Numerical radius inequalities for 2×2 operator matrices. Studia Math. 2012;210:99–115. doi: 10.4064/sm210-2-1
  • Hirzallah O, Kittaneh F, Shebrawi K. Numerical radius inequalities for certain 2×2 operator matrices. Integr Equ Oper Theory. 2011;71:129–147. doi: 10.1007/s00020-011-1893-0
  • Moslehian MS, Sattari M. Inequalities for operator space numerical radius of 2×2 block matrices. J Math Phys. 2016;57:015201. doi: 10.1063/1.4926977
  • Sahoo S, Das N, Mishra D. Numerical radius inequalities for operator matrices. Adv Oper Theory. 2019;4:197–214. doi: 10.15352/aot.1804-1359
  • Sahoo S, Rout NC, Sababheh M. Some extended numerical radius inequalities, Linear Multilinear Algebra. 2019. doi:10.1080/03081087.2019.1698510
  • Sahoo S, Das N, Mishra D. Berezin number and numerical radius inequalities for operators on Hilbert spaces. Adv Oper Theory. 2020;5:714–727. doi: 10.1007/s43036-019-00035-8
  • Saddi A. A-normal operators in semi Hilbertian spaces. AJMAA. 2012;9:1–12.
  • Moslehian MS, Xu Q, Zamani A. Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces. Linear Algebra Appl. 2020;591:299–321. doi: 10.1016/j.laa.2020.01.015
  • Bhunia P, Paul K, Nayak RK. On inequalities for A-numerical radius of operators. Electron J Linear Algebra. 2020;36:143–157.
  • 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
  • Bhunia P, Nayak RK, Paul K. Refinements of A-numerical radius inequalities and their applications. Adv  Oper  Theory.  2020; 5: 1498–1511.
  • Feki K. Some A-numerical radius inequalities for d×d operator matrices, arXiv:2003.14378 [math.FA]; 2020.
  • Rout NC, Sahoo S, Mishra D. Some A-numerical radius inequalities for semi-Hilbertian space operators, Linear Multilinear Algebra. 2020. doi:10.1080/03081087.2020.1774487
  • Bhunia P, Feki K, Paul K. A-numerical radius orthogonality and parallelism of semi-Hilbertian space operators and their applications. Bull Iran Math Soc. 2020. doi:10.1007/s41980-020-00392-8
  • Feki K. Spectral radius of semi-Hilbertian space operators and its applications. Ann Funct Anal. 2020. doi:10.1007/s43034-020-00064-y
  • Bognar J. Indefinite inner product spaces. Berlin: Springer-Verlag; 1974.

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