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arXiv · 1109.3789

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

Raphaël Clouâtre
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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 $M$.

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Raphaël Clouâtre. 2014-05-22. Quasisimilarity of invariant subspaces for $C_0$ operators with multiplicity two. https://arxiv.org/abs/1109.3789

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