The Douglas property for multiplier algebras of operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

McCullough, S.¹  Trent, T. T.² 

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

关键词: Corona theorem;    Reproducing kernels;   

DOI  :  10.1016/j.jmaa.2011.11.050

来源: Elsevier

【 摘 要 】

For a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and the ball and for the Bergman space, k is a complete Pick kernel if and only if the multiplier algebra of H-2(k) has the Douglas property. Consequences for solving the operator equation AX = Y are examined. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free