paper

Quasi-permutable normal operators in octonion Hilbert spaces and spectra

arXiv:1204.2571 · doi:10.1007/s00006-013-0430-4

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.

20 pages

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