The hyperinvariant subspace lattice of a contraction of class 𝐶.₀

Wu, Pei Yuan

doi:10.1090/S0002-9939-1978-0509248-7

The hyperinvariant subspace lattice of a contraction of class $C._{0}$
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Proc. Amer. Math. Soc. 72 (1978), 527-530 Request permission

Abstract:

It is shown that if T is a ${C_{ \cdot 0}}$ contraction with finite defect indices, then Hyperlat T is (lattice) generated by those subspaces which are either $\ker \psi (T)$ or ran $\overline {{\text {ran}}\;\xi (T)}$, where $\psi$ and $\xi$ are scalar-valued inner functions.

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