Unbounded operators on Banach spaces over the quaternion field

Abstract

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.

20 pages

References in corpus (1)

• Generalized Loop Groups of Complex Manifolds, Gaussian Quasi-Invariant Measures on them and their Representations