Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra

DOI10.1007/s10958-007-0273-4zbMath1178.47057arXivmath/0603025OpenAlexW1992370424MaRDI QIDQ1040301

Sergey V. Ludkovsky

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603025

zbMATH Keywords

Hilbert spaceBanach spacequaternionsunbounded operatorsfunctional calculussemigroups of operatorsoctonionsself-adjoint operator algebrasquasi-linear operators

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Nonassociative selfadjoint operator algebras (46L70) Nonassociative nonselfadjoint operator algebras (47L70)

Related Items

Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley–Dickson algebras ⋮ Schauder bases in Dirac modules over quaternions ⋮ Integration of vector hydrodynamical partial differential equations over octonions ⋮ Unbounded normal operators in octonion Hilbert spaces and their spectra ⋮ Completions and homomorphisms of infinite dimensional Cayley–Dickson algebras ⋮ Spectral theory of super-differential operators of quaternion and octonion variables ⋮ Quasi-permutable normal operators in octonion Hilbert spaces and spectra ⋮ Automorphisms and derivations of nonassociative C*-algebras ⋮ Spectral representations of operators in Hilbert spaces over quaternions and octonions

Cites Work

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