Quasi-permutable normal operators in octonion Hilbert spaces and spectra

DOI10.1007/s00006-013-0430-4zbMath1466.47004arXiv1204.2571OpenAlexW3101807487MaRDI QIDQ742328

Sergey V. Ludkovsky

Publication date: 18 September 2014

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2571

zbMATH Keywords

spectral measurespectraoctonion algebrahypercomplex numbersquaternion skew fieldnon-commutative functional analysisnon-commutative integrationquasi-permutable operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Noncommutative geometry (à la Connes) (58B34)

Cites Work

• Line integration of Dirac operators over octonions and Cayley-Dickson algebras
• Spectral theory of super-differential operators of quaternion and octonion variables
• Sum rules and spectral measures of Schrödinger operators with \(L^2\) potentials
• Some conformally flat spin manifolds, Dirac operators and automorphic forms
• Differentiable functions of Cayley-Dickson numbers and line integration
• Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra
• Differentiable functions of quaternion variables.
• Quaternionic analysis and elliptic boundary value problems
• Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains
• Unbounded normal operators in octonion Hilbert spaces and their spectra
• Representation of certain homogeneous Hilbertian operator spaces and applications
• Spectral representations of operators in Hilbert spaces over quaternions and octonions
• The octonions
• Integration of vector hydrodynamical partial differential equations over octonions
• Ordered representations of normal and super-differential operators in quaternion and octonion Hilbert spaces
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