CDAM Research Report, LSE-CDAM-2009-05
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.
A PDF file (168 kB) with the full contents of this report can be downloaded by clicking here.
Alternatively, if you would like to get a free hard copy of this report, please send the number of this report, LSE-CDAM-2009-05, together with your name and postal address to:
CDAM Research Reports Series
Centre for Discrete and Applicable Mathematics
London School of Economics
London WC2A 2AE, U.K.
Phone: +44(0)-20-7955 7494.
Fax: +44(0)-20-7955 6877.
|Introduction to the CDAM Research Report Series.|