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arXiv · 2103.16266

Normal operators in real and quaternionic Hilbert spaces

Florian-Horia Vasilescu
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Abstract

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.

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Florian-Horia Vasilescu. 2021-03-30. Normal operators in real and quaternionic Hilbert spaces. https://arxiv.org/abs/2103.16266

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