7
Views
0
CrossRef citations to date
0
Altmetric
Research Article

On A-normaloid d-tuples of operators and related questions

ORCID Icon, & ORCID Icon
Pages 1305-1326 | Received 11 Aug 2023, Published online: 09 May 2024

References

  • N. Altwaijry, K. Feki, and N. Minculete, A new seminorm for d-tuples of A-bounded operators and their applications, Mathematics 11(3) (2023), 685. doi: 10.3390/math11030685
  • M.L. Arias, G. Corach, and M.C. Gonzalez, Partial isometries in semi-Hilbertian spaces, Linear Algebra Appl. 428(7) (2008), 1460–1475. doi: 10.1016/j.laa.2007.09.031
  • M.L. Arias, G. Corach, and M.C. Gonzalez, Metric properties of projections in semi-Hilbertian spaces, Integral Equations and Operator Theory 62 (2008), 11–28. doi: 10.1007/s00020-008-1613-6
  • M.L. Arias, G. Corach, and M.C. Gonzalez, Lifting properties in operator ranges, Acta Sci. Math. (Szeged) 75(3–4) (2009), 635–653.
  • H. Baklouti and K. Feki, On joint spectral radius of commuting operators in Hilbert spaces, Linear Algebra Appl. 557 (2018), 455–463. doi: 10.1016/j.laa.2018.08.017
  • H. Baklouti and K. Feki, Commuting tuples of normal operators in Hilbert spaces, Complex Anal. Oper. Theory 14 (2020), 56. doi: 10.1007/s11785-020-01013-2
  • H. Baklouti, K. Feki, and O.A.M. Sid Ahmed, Joint numerical ranges of operators in semi-Hilbertian spaces, Linear Algebra Appl. 555 (2018,) 266–284. doi: 10.1016/j.laa.2018.06.021
  • H. Baklouti, K. Feki, and O.A.M. Sid Ahmed, Joint normality of operators in semi-Hilbertian spaces, Linear Multilinear Algebra 68(4) (2020), 845–866. doi: 10.1080/03081087.2019.1593925
  • H. Baklouti and S. Namouri, Spectral analysis of bounded operators on semi-Hilbertian spaces, Banach J. Math. Anal. 16 (2022), 12. doi: 10.1007/s43037-021-00167-1
  • C. Benhida, R.E. Curto, S.H. Lee, and J. Yoon, The spectral picture and joint spectral radius of the generalized spherical Aluthge transform, Advances in Mathematics 408(3) (2022), 108602. https://doi.org/10.1016/j.aim.2022.108602
  • P. Bhunia, S.S. Dragomir, M.S. Moslehian, and K. Paul, Lectures on numerical radius inequalities, Infosys Science Foundation Series in Mathematical Sciences, Springer, Cham, 2022.
  • L. de Branges and J. Rovnyak, Square Summable Power Series, Holt, Rinehert and Winston, New York, 1966.
  • J.W. Bunce, Models for n-tuples of noncommuting operators, J. Funct. Anal. 57 (1984), 21–30. doi: 10.1016/0022-1236(84)90098-3
  • S. Chavan and K. Feki, Spherical symmetry of some unitary invariants for commuting tuples, Oper. Matrices 15(3) (2021), 1131–1139. doi: 10.7153/oam-2021-15-70
  • M. Chō and T. Huruya, On the joint spectral radius, Proc. Roy. Irish Acad. Sect. A 91 (1991), 39–44.
  • M. Chō and T. Huruya, and V. Wrobel, On the joint spectral radius. II, Proceedings of the American Mathematical Society 116(4) (1992), 987–989. doi: 10.1090/S0002-9939-1992-1097339-1
  • M. Chō and M. Takaguchi, Some classes of commuting n-tuples of operators, Studia Math. 80 (1984), 245–259. doi: 10.4064/sm-80-3-245-259
  • R.G. Douglas, On majorization, factorization and range inclusion of operators in Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413–416. doi: 10.1090/S0002-9939-1966-0203464-1
  • K. Feki, On tuples of commuting operators in positive semidefinite inner product spaces, Linear Algebra Appl. 603 (2020), 313–328. doi: 10.1016/j.laa.2020.06.015
  • K. Feki, Spectral radius of semi-Hilbertian space operators and its applications, Ann. Funct. Anal. 11 (2020), 929–946. doi: 10.1007/s43034-020-00064-y
  • K. Feki, A note on the A-numerical radius of operators in semi-Hilbert spaces, Arch. Math. (Basel) 115(5) (2020), 535–544. doi: 10.1007/s00013-020-01482-z
  • K. Feki, Some A-spectral radius inequalities for A-bounded Hilbert space operators, Banach J. Math. Anal. 16 (2022), 31. https://doi.org/10.1007/s43037-022-00185-7
  • S. Ghribi, N. Jeridi, and R. Rabaoui, On (A, m)-isometric commuting tuples of operators on a Hilbert space, Linear and Multilinear Algebra 70(11) (2022), 2097–2116. DOI: 10.1080/03081087.2020.1786489
  • P. Grover and S. Singla, A distance formula for tuples of operators, Linear Algebra Appl. 650 (2022), 267–285. doi: 10.1016/j.laa.2022.06.002
  • M. Guesba, E.M.O. Beiba, and O.A.M. Sid Ahmed, Joint A-hyponormality of operators in semi-Hilbert spaces, Linear Multilinear Algebra 69(15) (2021), 2888–2907. doi: 10.1080/03081087.2019.1698509
  • T. Le, Decomposing algebraic m-isometric tuples, J. Funct. Anal. 278(8) (2020), 108424. https://doi.org/10.1016/j.jfa.2019.108424.
  • V. Müller and A. Soltysiak, Spectral radius formula for commuting Hilbert space operators, Studia Math. 103 (1992), 329–333. doi: 10.4064/sm-103-3-329-333
  • S.M. Patel, Joint normaloidity of operators, Glasnik Matematicki, 15(35) (1980), 373–376.
  • A. Saddi, A-Normal operators in Semi-Hilbertian spaces, Aust. J. Math. Anal. Appl. 9(1) (2012), 1–12.
  • O.A.M. Sid Ahmed, A.H. Ahmed, and A. Sarosh, (α, β)-Normal Operators in Several Variables, Mathematical Problems in Engineering 2022 (2022), Article ID 3020449. https://doi.org/10.1155/2022/3020449

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.