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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2103.16266 |
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Table of Contents:
- A new approach to normal operators in real Hilbert spaces is discussed, and a spectral representation is obtained, derived directly from the complex case. The results are then applied to quaternionic normal operators, regarded as a special class of real normal operators. This point of view allows us to consider their spectrum and associated measures to be defined on subsets of the complex plane, in a classical manner.