TITLE:
Meta-Invariant Operators over Cayley-Dickson Algebras and Spectra
AUTHORS:
S. V. Ludkovsky
KEYWORDS:
Hypercomplex Numbers; Cayley-Dickson Algebras; Operator; Operator Algebra; Spectra; Spectral Measure
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.1,
January
29,
2013
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.