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# Sums and Products of Weighted Shifts

Published:2001-12-01
Printed: Dec 2001
• Laurent W. Marcoux
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## Abstract

In this article it is shown that every bounded linear operator on a complex, infinite dimensional, separable Hilbert space is a sum of at most eighteen unilateral (alternatively, bilateral) weighted shifts. As well, we classify products of weighted shifts, as well as sums and limits of the resulting operators.
 MSC Classifications: 47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 47A99 - None of the above, but in this section