English

Reflexivity of operator algebras of finite split strict multiplicity

Functional Analysis 2009-12-14 v1

Abstract

We study the invariant subspaces of abelian operator algebras of finite split strict multiplicity. We give sufficient conditions for the reflexivity and hereditary reflexivity of these algebras.

Keywords

Cite

@article{arxiv.0912.2315,
  title  = {Reflexivity of operator algebras of finite split strict multiplicity},
  author = {Raluca Dumitru and Costel Peligrad and Bogdan Visinescu},
  journal= {arXiv preprint arXiv:0912.2315},
  year   = {2009}
}