English

Joint spectrum for quasi-solvable Lie algebras of operators

Functional Analysis 2016-03-29 v1

Abstract

Given a complex Banach space XX and a joint spectrum for complex solvable finite dimensional Lie algebras of operators defined on XX, we extend this joint spectrum to quasi-solvable Lie algebras of operators, and we prove the main spectral properties of the extended joint spectrum. We also show that this construction is uniquely determined by the original joint spectrum.

Keywords

Cite

@article{arxiv.1603.08115,
  title  = {Joint spectrum for quasi-solvable Lie algebras of operators},
  author = {Enrico Boasso},
  journal= {arXiv preprint arXiv:1603.08115},
  year   = {2016}
}

Comments

7 pages, original research article