Geodesic
Sums and Products of Weighted Shifts
Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 469-481

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DOI

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.
DOI : 10.4153/CMB-2001-047-1
Mots-clés : 47B37, 47A99 
Marcoux, Laurent W. Sums and Products of Weighted Shifts. Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 469-481. doi: 10.4153/CMB-2001-047-1
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     title = {Sums and {Products} of {Weighted} {Shifts}},
     journal = {Canadian mathematical bulletin},
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     year = {2001},
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     number = {4},
     doi = {10.4153/CMB-2001-047-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-047-1/}
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