2019
DOI: 10.1016/j.jmaa.2019.07.031
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Cyclic row contractions and rigidity of invariant subspaces

Abstract: It is known that pure row contractions with one-dimensional defect spaces can be classified up to unitary equivalence by compressions of the standard d-shift acting on the full Fock space. Upon settling for a softer relation than unitary equivalence, we relax the defect condition and simply require the row contraction to admit a cyclic vector. We show that cyclic pure row contractions can be "transformed" (in a precise technical sense) into compressions of the standard d-shift. Cyclic decompositions of the und… Show more

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