217
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Numerical range of quaternionic right linear bounded operators

, &
Pages 7599-7610 | Received 28 Dec 2020, Accepted 20 Oct 2021, Published online: 11 Nov 2021

References

  • Gustafson KE, Rao DKM. Numerical range. New York (NY): Springer-Verlag;1997. (Universitext).
  • Au-Yeung YH. On the eigenvalues and numerical range of a quaternionic matrix. River Edge (NJ): World Science Publications; 1995. p. 19–30.
  • Au-Yeung YH. On the convexity of numerical range in quaternionic Hilbert spaces. Linear Multi Algebra. 1984;16:93–100.
  • So W, Thompson RC, Zhang FZ. The numerical range of normal matrices with quaternion entries. Linear Multi Algebra. 1994;37:175–195.
  • So W, Thompson RC. Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Linear Multi Algebra. 1996;41:303–365.
  • Kumar PS. A note on convexity of sections of quaternionic numerical range. Linear Algebra Appl. 2019;572:92–116.
  • Ramesh G. On the numerical radius of a quaternionic normal operator. Adv Oper Theory. 2017;2(1):78–86.
  • Muraleetharan B, Thirulogasanthar K. Fredholm operators and essential S-spectrum in the quaternionic setting. J Math Phys. 2018;59:103–506.
  • Ghiloni R, Moretti V, Perotti A. Continuous slice functional calculus in quaternionic Hilbert spaces. Rev Math Phys. 2013;25(4):1350006.

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.