The Douglas property for multiplier algebras of operators

Details The Douglas property for multiplier algebras of operators The Douglas property for multiplier algebras of operators

2011-07-05

arxiv.org/abs/1107.0980v2

Mathematics

Functional Analysis

Scientific paper

For a collection of reproducing kernels k which includes those for the Hardy
space of the polydisk and ball and for the Bergman space, k is a complete Pick
kernel if and only if the multiplier algebra of the Hilbert space H^2(k)
associated to k has the Douglas property. Consequences for solving the operator
equation AX=Y are examined.

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