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math.FA2011
Quasisimilarity of invariant subspaces for operators with multiplicity two
Raphaël Clouâtre
For an operator of class with multiplicity two, we show that the quasisimilarity class of an invariant subspace is determined by the quasisimilarity classes of the re…
math.FA2011
Quasiaffine orbits of invariant subspaces for uniform Jordan operators
Raphaël Clouâtre
We consider the problem of classification of invariant subspaces for the class of uniform Jordan operators. We show that given two invariant subspaces and of a uniform…
math.FA2011
Similarity results for operators of class C_0
Raphaël Clouâtre
If T is a multiplicity-free contraction of class C_0 with minimal function m_T, then it is quasisimilar to the Jordan block S(m_T). In case m_T is a Blaschke product with simple ro…