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1. 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

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