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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, 47A99 show english descriptions Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
None of the above, but in this section
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A99 - None of the above, but in this section
 

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