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Research Article

An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices

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Received 14 May 2024, Accepted 24 Jun 2024, Published online: 10 Jul 2024

References

  • Arlinski YM, Popov AB. On sectorial matrices. Linear Algebra Appl. 2003;370:133–146. doi: 10.1016/S0024-3795(03)00388-4
  • Drury S, Lin M. Singular value inequalities for matrices with numerical ranges in a sector. Oper Matrices. 2014;8:1143–1148. doi: 10.7153/oam-08-64
  • Li C-K, Sze N. Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector. J Math Anal Appl. 2014;410:487–491. doi: 10.1016/j.jmaa.2013.08.040
  • Zhang F. A matrix decomposition and its applications. Linear Multilinear A. 2015;63:2033–2042. doi: 10.1080/03081087.2014.933219
  • Ju S. Rotfel'd, The singular values of a sum of completely continuous operators. Top Math Phys Consultants Bureau. 1969;3:73–78.
  • Lee E-Y. Extension of Rotfel'd theorem. Linear Algebra Appl. 2011;435:735–741. doi: 10.1016/j.laa.2011.01.017
  • Zhang P. A further extension of Rotfel'd theorem. Linear Multilinear A. 2015;63:2511–2517. doi: 10.1080/03081087.2015.1022501
  • Hou L, Zhang D. Concave functions of partitioned matrices with numerical ranges in a sector. Math Inequal Appl. 2017;20:583–589.
  • Zhao J, Ni K. Some extensions of Rotfel'd theorem. Linear Multilinear A. 2018;66:410–417. doi: 10.1080/03081087.2017.1301359
  • Yang J, Lu L, Chen Z. A refinement of Rotfel'd type inequality for partitioned matrices with numerical ranges in a sector. Linear Multilinear A. 2019;67:1719–1726. doi: 10.1080/03081087.2018.1469597
  • Fu X, Liu Y. Rotfel'd inequality for partitioned matrices with numerical ranges in a sector. Linear Multilinear A. 2016;64:105–109. doi: 10.1080/03081087.2015.1080212
  • Mao Y, Ji G. On Rotfel'd type inequalities for sectorial matrices. Linear Algebra Appl. 2024;691:123–132. doi: 10.1016/j.laa.2024.03.018
  • Alakhrass M, Sababheh M. Lieb functions and sectorial matrices. Linear Algebra Appl. 2020;586:308–324. doi: 10.1016/j.laa.2019.10.028
  • Bhatia R. Matrix analysis. New York: Springer-Verlag; 1997.
  • Aujla JS, Bourin J-C. Eigenvalues inequalities for convex and log-convex functions. Linear Algebra Appl. 2007;424:25–35. doi: 10.1016/j.laa.2006.02.027

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