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

Voir la notice de l'article provenant de la source Cambridge University Press

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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