• COMMUTANT OF THE DIRECT SUM OF MULTIPLICATION OPERATORS
Abstract
For, suppose that is Banach space of analytic functions on a bounded domain in the complex plane, and for . Let denote the operator of multiplication by on . It is shown that the commutatnt and the double commutatnt of are equal; furthermore, the commutant of split. That is, . Also, we prove that the direct sum of an upper or lower triangular operator on and another one on split.
Keywords
Commutant, Direct sum, Multiplication operators.
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