Quasiaffine orbits of invariant subspaces for uniform Jordan operators

Details Quasiaffine orbits of invariant subspaces for uniform Jordan operators Quasiaffine orbits of invariant subspaces for uniform Jordan operators

2011-08-27

arxiv.org/abs/1108.5480v1

Mathematics

Functional Analysis

9 pages

Scientific paper

For a uniform Jordan operator T and two invariant subspaces M_1 and M_2, we
show that M_2 belongs to the quasiaffine orbit of M_1 if and only if the
restrictions T|M_1 and T|M_2 are quasisimilar and the compression T_{M_2^\perp}
can be injected in the compression T_{M_1^\perp}.

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