English

Unbounded operators on Banach spaces over the quaternion field

Operator Algebras 2018-12-18 v1 Spectral Theory

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.

Keywords

Cite

@article{arxiv.math/0404444,
  title  = {Unbounded operators on Banach spaces over the quaternion field},
  author = {S. V. Ludkovsky},
  journal= {arXiv preprint arXiv:math/0404444},
  year   = {2018}
}

Comments

20 pages

R2 v1 2026-07-22T17:04:44.220Z