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Search: MSC category 47A99 ( None of the above, but in this section )

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1. CMB 2001 (vol 44 pp. 469)

Marcoux, Laurent W.
 Sums and Products of Weighted Shifts 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. Categories:47B37, 47A99

2. CMB 2000 (vol 43 pp. 21)

Barnes, Bruce A.
 The Commutant of an Abstract Backward Shift A bounded linear operator \$T\$ on a Banach space \$X\$ is an abstract backward shift if the nullspace of \$T\$ is one dimensional, and the union of the null spaces of \$T^k\$ for all \$k \geq 1\$ is dense in \$X\$. In this paper it is shown that the commutant of an abstract backward shift is an integral domain. This result is used to derive properties of operators in the commutant. Keywords:backward shift, commutantCategory:47A99