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Wandering subspaces and the Beurling type theorem. III. (English) Zbl 1248.47008

In this paper, the authors study invariant subspaces of the Hardy space over the bidisk based on inner sequences. Their aim is to find the operators \(T\) on a Hilbert space \(H\) for which Beurling type theorems hold.
For Parts I and II, see [Arch. Math. 95, No. 5, 439–446 (2010; Zbl 1219.47017)] and [New York J. Math. 16, 489–505 (2010; Zbl 1220.47010)], respectively.

MSC:

47A15 Invariant subspaces of linear operators
32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables
47B33 Linear composition operators
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References:

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