Advances in Applied Clifford Algebras

, Volume 23, Issue 3, pp 701–739 | Cite as

Unbounded Normal Operators in Octonion Hilbert Spaces and Their Spectra

Article

Abstract

Affiliated and normal operators in octonion Hilbert spaces are studied. Theorems about their properties and of related algebras are demonstrated. Spectra of unbounded normal operators are investigated.

Keywords

Non-commutative functional analysis hypercomplex numbers quaternion skew field octonion algebra operator operator algebra spectra spectral measure non-commutative integration 

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© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of Applied MathematicsMoscow State Technical UnivMoscowRussian Federation

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