A Lomonosov-type theorem holds for compact operators on non-finitely-generated Hilbert C*-modules over finite-dimensional C*-algebras: each such operator has a proper nonzero hyperinvariant submodule.
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Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules
A Lomonosov-type theorem holds for compact operators on non-finitely-generated Hilbert C*-modules over finite-dimensional C*-algebras: each such operator has a proper nonzero hyperinvariant submodule.