The Douglas property for multiplier algebras of operators
Functional Analysis
2011-11-18 v2 Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.1107.0980,
title = {The Douglas property for multiplier algebras of operators},
author = {Scott McCullough and Tavan T. Trent},
journal= {arXiv preprint arXiv:1107.0980},
year = {2011}
}