2009/05/11 by Ronald G. Douglas, Jaydeb Sarkar, Douglas, Ronald G. +1
Engineering · Mathematics · #Differential Equations and Boundary Problems #Elasticity and Wave Propagation #Material Science and Thermodynamics #math.CV #math.FA #msc:46E22 #msc:46E50 #msc:47A13 #msc:47B32 #msc:50H05
paper · pdf · doi:10.48550/arxiv.0905.1659
13 pages, no figure
arxiv created 2009/05/11 · arxiv updated 2009/12/01
In a recent paper, Trent and Wick establish a strong relation between the corona problem and the Toeplitz corona problem for a family of spaces over the ball and the polydisk. Their work is based on earlier work of Amar. In this note, several of their lemmas are reinterpreted in the language of Hilbert modules, revealing some interesting facts and raising some questions about quasi-free Hilbert modules. Moreover, a modest generalization of their result is obtained.