54 citations · 102 across the 18 of their papers we have counts for
4 papers · 1 filter
Some Remarks on the Toeplitz Corona problem
Ronald G. Douglas, Jaydeb Sarkar
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. Thei…
A note on semi-Fredholm Hilbert modules
Ronald G. Douglas, Jaydeb Sarkar
A classical problem in operator theory has been to determine the spectrum of Toeplitz-like operators on Hilbert spaces of vector-valued holomorphic functions on the open unit ball…
Reducing Subspaces on the Annulus
Ronald G. Douglas, Yun-Su Kim
We study reducing subspaces for an analytic multiplication operator M_{z^{n}} on the Bergman space L_{a}^{2}(A_{r}) of the annulus A_{r}, and we prove that M_{z^{n}} has exactly 2^…
Multiplication operators on the Bergman space via analytic continuation
Ronald G. Douglas, Shunhua Sun, Dechao Zheng
In this paper, using the group-like property of local inverses of a finite Blaschke product , we will show that the largest -algebra in the commutant of the multiplication…