activity
20082013
most citedToeplitz Corona Theorems for the Polydisk and the Unit Ball

19 citations · 24 across the 5 of their papers we have counts for

collaborators

6 papers

math.FA2013

A Generalized Wolff's Ideal Theorem on Certain Subalgebras of

Debendra Banjade, Caleb Holloway, Tavan Trent

We prove the generalized Wolff's Ideal Theorem on certain uniformly closed subalgebras of on which the Corona Theorem is already known to hold.

math.FA2013

Wolff's Theorem on Ideals for Matrices

Caleb Holloway, Tavan Trent

We extend Wolff's theorem concerning ideals on H-infinity(D) to the matrix case, giving conditions under which an H-infinity solution G to the equation FG = H exists for all z in D…

math.FA2013

Wolff's Problem of Ideals in the Multipler Algebra on Weighted Dirichlet Space

Debendra P. Banjade, Tavan T. Trent

We establish an analogue of Wolff's theorem on ideals in for the multiplier algebra of weighted Dirichlet space.

math.FA2013★ 5 cited

Wolff's Problem of Ideals in the Multiplier Algebra on Dirichlet space

Debendra P. Banjade, Tavan T. Trent

We establish an analogue of Wolff's theorem on ideals in for the multiplier algebra of Dirichlet space.

math.FA2011

The Douglas property for multiplier algebras of operators

Scott McCullough, Tavan T. Trent

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 th…

math.CA2008★ 19 cited

Toeplitz Corona Theorems for the Polydisk and the Unit Ball

Tavan T. Trent, Brett D. Wick

The main purpose of this paper is to extend and refine some work of Agler-McCarthy and Amar concerning the Corona problem for the polydisk and the unit ball in .