Doubly commuting submodules of the Hardy module over polydiscs

; and Wick, Brett D. Doubly commuting submodules of the Hardy module over polydiscs. Studia Mathematica, 217 (2). pp. 179-192. ISSN 0039-3223

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In this note we establish a vector-valued version of Beurling's theorem (the Lax–Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in H ∞ (D n ) .

Item Type	Article
Departments	Mathematics
DOI	10.4064/sm217-2-5
Date Deposited	20 Nov 2013 10:16
URI	https://researchonline.lse.ac.uk/id/eprint/54072

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Sarkar, Jaydeb
Sasane, Amol
Wick, Brett D.

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http://www.lse.ac.uk/Mathematics/people/Amol-Sasane.aspx (Author)
10.4064/sm217-2-5 (DOI)

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