Operators induced by certain hypercomplex systems
In this paper, we consider a family \(\{ \mathbb{H}_{t}\}_{t\in\mathbb{R}}\) of rings of hypercomplex numbers, indexed by the real numbers, which contain both the quaternions and the split-quaternions. We consider natural Hilbert-space representations \(\{(\mathbb{C}^{2},\pi_{t})\}_{t\in\mathbb{R}}\...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2023-05-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | https://www.opuscula.agh.edu.pl/vol43/3/art/opuscula_math_4315.pdf |