Establishes a bijection between invariant subspace chains for completely non-unitary contractions and k-regular factorizations of their characteristic functions, while defining symmetric k-regular tuples that exclude some known counterexamples in commuting dilation theory.
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$k$-Regular Factorizations and Invariant Subspaces of Completely Non-Unitary Contractions
Establishes a bijection between invariant subspace chains for completely non-unitary contractions and k-regular factorizations of their characteristic functions, while defining symmetric k-regular tuples that exclude some known counterexamples in commuting dilation theory.