Unbounded operators on Banach spaces over the quaternion field

Details Unbounded operators on Banach spaces over the quaternion field Unbounded operators on Banach spaces over the quaternion field

2004-04-24

arxiv.org/abs/math/0404444v1

Hypercomplex Numbers in Geometry and Physics 2007

Mathematics

Operator Algebras

20 pages

Scientific paper

Resolvents of quasi-linear operators and operator algebras in Banach spaces
over the quaternion field are investigated. Spectral theory of unbounded
nonlinear operators in quaternion Banach spaces is studied. Strongly continuous
semigroups of quaternion quasi-linear operators are investigated and the polar
decomposition theorem for them is proved.

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