19 citations · 80 across the 59 of their papers we have counts for
62 papers
Projective Freeness and Stable Rank of Algebras of Complex-valued BV Functions
Alexander Brudnyi
The paper investigates the algebraic properties of Banach algebras of complex-valued functions of bounded variation on a finite interval. It is proved that such algebras have Bass…
On Homomorphisms of Douglas Algebras
Alexander Brudnyi
The paper describes homomorphisms between Douglas algebras and some semisimple Banach algebras. The main tool is a result on the structure of the space of contin…
Estimates for the Banach-valued problem in a Disk
Alexander Brudnyi
We study the differential equation with an unbounded Banach-valued Bochner measurable function on the open unit disk $\mathbb D\subset\mat…
Projective freeness and Hermiteness of complex function algebras
Alexander Brudnyi, Amol Sasane
The paper studies projective freeness and Hermiteness of algebras of complex-valued continuous functions on topological spaces, Stein algebras, and commutative unital Banach algebr…
On nonlinear Rudin-Carleson type theorem
Alexander Brudnyi
In this paper we study nonlinear interpolation problems for interpolation and peak-interpolation sets of function algebras. The subject goes back to the classical Rudin-Carleson in…
On Exponential Factorizations of Matrices over Banach Algebras
A. Brudnyi
We study exponential factorization of invertible matrices over unital complex Banach algebras. In particular, we prove that every invertible matrix with entries in the algebra of h…