19 citations · 24 across the 9 of their papers we have counts for
5 papers · 1 filter
Octonionic isometric isomorphisms and partial isometry
Qinghai Huo, Guangbin Ren, Zhenghua Xu
Very recently, two new notions of para-linear mappings and weak associative orthonormal bases were introduced in octonionic functional analysis, which have been proved to be powerf…
Octonionic Riesz-Dunford functional calculus
Qinghai Huo, Guangbin Ren, Irene Sabadini +1
The Riesz-Dunford functional calculus over the algebra of octonions, denoted by , has long been an open problem due to the nonassociativity of octonions. Two core obsta…
Octonionic Para-linear Self-Adjoint Operators and Spectral Decomposition
Qinghai Huo, Guangbin Ren, Irene Sabadini
This paper presents a groundbreaking advancement in the theory of operators defined on octonionic Hilbert spaces, successfully resolving a fundamental challenge that has persisted…
Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley-Dickson algebras
Qinghai Huo, Guangbin Ren
Contrary to the simple structure of the tensor product of the quaternionic Hilbert space, the octonionic situation becomes more involved. It turns out that an octonionic Hilbert sp…
Para-linearity as the nonassociative counterpart of linearity
Qinghai Huo, Guangbin Ren
In an octonionic Hilbert space , the octonionic linearity is taken to fail for the maps induced by the octonionic inner products, and it should be replaced with the octonionic p…