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Sums and Products of Weighted Shifts |
Published:2001-12-01
Printed: Dec 2001
Printed: Dec 2001
- Laurent W. Marcoux
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 |