CDAM: Computational, Discrete and Applicable Mathematics@LSE

 CDAM Research Report, LSE-CDAM-2009-05

May 2009

Weak Beurling property and extensions to invertibility

Tirthankar Bhattacharyya and Amol Sasane

We prove an equivalence between a Hilbert space H possessing the weak Beurling property and the property that in the multiplier algebra M(H) of H, left invertible matrices can be completed to isomorphisms. In particular, this result gives an analogue of Tolokonnikov's lemma for the multiplier algebra of the Drury-Arveson Hilbert space.

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