Unbounded normal operators in octonion Hilbert spaces and their spectra
S. V. Ludkovsky
TL;DR
This paper explores the properties and spectra of unbounded normal operators in octonion Hilbert spaces, expanding the understanding of operator theory in non-associative algebraic contexts.
Contribution
It introduces new theorems on affiliated and normal operators in octonion Hilbert spaces and investigates their spectral properties.
Findings
Spectra of unbounded normal operators in octonion Hilbert spaces are characterized.
New theorems about properties of affiliated and normal operators are established.
Related algebraic structures are analyzed in the context of octonion Hilbert spaces.
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.
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