Quasisimilarity of invariant subspaces for $C_0$ operators with multiplicity two

Raphaël Clouâtre

Quasisimilarity of invariant subspaces for $C_0$ operators with multiplicity two

Functional Analysis 2014-05-23 v2 Operator Algebras

Authors: Raphaël Clouâtre

Abstract

For an operator $T$ of class $C_0$ with multiplicity two, we show that the quasisimilarity class of an invariant subspace $M$ is determined by the quasisimilarity classes of the restriction $T|M$ and of the compression $T_{M^\perp}$ . We also provide a canonical form for the subspace $M$ .

Keywords

$C_0$ operators invariant subspaces quasisimilarity multiplicity two canonical form operator theory

Cite

@article{arxiv.1109.3789,
  title  = {Quasisimilarity of invariant subspaces for $C_0$ operators with multiplicity two},
  author = {Raphaël Clouâtre},
  journal= {arXiv preprint arXiv:1109.3789},
  year   = {2014}
}

Comments

16 pages. Final version. Accepted for publication in Journal of Operator Theory

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