Article

Advances in Applied Clifford Algebras

, Volume 23, Issue 3, pp 701-739

Unbounded Normal Operators in Octonion Hilbert Spaces and Their Spectra

  • Sergey V. LudkowskiAffiliated withDepartment of Applied Mathematics, Moscow State Technical Univ Email author 

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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