Journal of Operator Theory

Volume 70, Issue 2, Autumn 2013 pp. 495-511.

Quasisimilarity of invariant subspaces for

$C_0$ operators with multiplicity two

Authors: Raphael Clouatre
Author institution: Department of Mathematics, Indiana University, 831 East 3rd Street, Bloomington, IN 47405, U.S.A.

Summary: 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

$M$ .

DOI: http://dx.doi.org/10.7900/jot.2011sep19.1937
Keywords:

$C_0$ operators, invariant subspaces, quasisimilarity orbit

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