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Meta-Invariant Operators over Cayley-Dickson Algebras and Spectra
Department of Applied Mathematics, Moscow State Technical University, Moscow, Russia
- 1 Department of Applied Mathematics, Moscow State Technical University, Moscow, Russia
Advances in Pure Mathematics·Volume 03 (2013)·Pages 41–69·Published 11 January 2013·DOI10.4236/apm.2013.31008
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Abstract
A class of meta-invariant operators over Cayley-Dickson algebra is studied. Their spectral theory is investigated. More - over, theorems about spectra of generalized unitary operators and their semigroups are demonstrated.
KeywordsHypercomplex NumbersCayley-Dickson AlgebrasOperatorOperator AlgebraSpectraSpectral Measure
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