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arxiv: 1204.2571 · v1 · pith:JLM7YNIVnew · submitted 2012-04-11 · 🧮 math.FA

Quasi-permutable normal operators in octonion Hilbert spaces and spectra

classification 🧮 math.FA
keywords operatorshilbertnormaloctonionquasi-permutablespacesspectraanalog
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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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