Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023)

Authors

  • Aref Jeribi Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Tunisia
  • Kamel Mahfoudhi University of Sousse, Higher Institute of Applied Sciences and Technology of Sousse, Tunisia

DOI:

https://doi.org/10.3842/umzh.v77i10.9201

Keywords:

Quaternion, quaternionic Hilbert space, Numerical range

Abstract

UDC 517.5

We correct a mistake made in the proof of Example 2.1. In fact $\langle T\phi,\phi\rangle_{\mathbb{H}}=0$ is not true in the case where $T=\begin{pmatrix}  \mathbf{q} & 0 \\0 & -\mathbf{q}\\\end{pmatrix}.$

References

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Published

30.09.2025

Issue

Vol. 77 No. 10 (2025)

Section

Research articles

License

Copyright (c) 2025 Aref Jeribi, Kamel Mahfoudhi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Jeribi, Aref, and Kamel Mahfoudhi. “Correction to "Quaternionic Davis–Wielandt Shell in a Right Quaternionic Hilbert space’’, Ukrainian Mathematical Journal, Vol. 75, No. 6, November, 2023 (Ukrainian Original Vol. 75, No. 6, June, 2023)”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 10, Sept. 2025, pp. 647–648, https://doi.org/10.3842/umzh.v77i10.9201.