CDAM: Computational, Discrete and Applicable Mathematics@LSE | |
CDAM Research Report, LSE-CDAM-2009-05May 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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