Abstract
The quaternionic equation ax + xb = c is studied in Section 3 of [2]. Unfortunately there is an error in Theorem 1 which states the main results (page 420). Here a correct theorem is stated. It is followed by a complete proof based on an alternative argument. And more information is given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Mierzejewski, Quasi-Spherical and Multi-Quasi-Spherical Polynomial Quaternionic Equations: Introduction of the Notions and Some Examples. Adv. Appl. Clifford Algebras 21 (2) (2011), pp. 407–416.
D. Mierzejewski, Linear manifolds in Sets of Solutions of Quaternionic Polynomial Equations of Several Types. Adv. Appl. Clifford Algebras 21 (2) (2011), pp. 417–428.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Helmstetter, J. The Quaternionic Equation ax + xb = c . Adv. Appl. Clifford Algebras 22, 1055–1059 (2012). https://doi.org/10.1007/s00006-012-0322-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00006-012-0322-z