Meta-Invariant Operators over Cayley-Dickson Algebras and Spectra - Advances in Pure Mathematics

APM > Vol.3 No.1, January 2013

Meta-Invariant Operators over Cayley-Dickson Algebras and Spectra ()

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DOI: 10.4236/apm.2013.31008 4,770 Downloads 7,105 Views Citations

Author(s)

S. V. Ludkovsky

Affiliation(s)

Department of Applied Mathematics, Moscow State Technical University, Moscow, Russia.

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.

KEYWORDS

Hypercomplex Numbers; Cayley-Dickson Algebras; Operator; Operator Algebra; Spectra; Spectral Measure

Share and Cite:

S. Ludkovsky, "Meta-Invariant Operators over Cayley-Dickson Algebras and Spectra," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 41-69. doi: 10.4236/apm.2013.31008.

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