Quasisimilarity of invariant subspaces for C_0 operators with multiplicity two

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

2011-09-17

arxiv.org/abs/1109.3789v1

Mathematics

Functional Analysis

15 pages

Scientific paper

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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