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Quasi-Permutable Normal Operators in Octonion Hilbert Spaces and Spectra

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Abstract

Families of quasi-permutable normal operators in octonion Hilbert spaces are investigated. Their spectra are studied. Multiparameter semigroups of such operators are considered. A non-associative analog of Stone’s theorem is proved.

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  1. Department of Applied Mathematics, Moscow State Technical University MIREA, av. Vernadsky 78, Moscow, 119454, Russia

    S.V. Ludkowski

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Ludkowski, S. Quasi-Permutable Normal Operators in Octonion Hilbert Spaces and Spectra. Adv. Appl. Clifford Algebras 24, 163–178 (2014). https://doi.org/10.1007/s00006-013-0430-4

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