Zobrazeno 1 - 10
of 345
pro vyhledávání: '"Brudnyi, P. A."'
Autor:
Brudnyi, Alexander, Sasane, Amol
Let $\mathscr O_u$ be the algebra of holomorphic functions on ${\bf C}_+:=\{s\in{\bf C}:\text{Re }s>0\}$ that are limits of Dirichlet series $D=\sum_{n=1}^\infty a_n n^{-s}$, $s\in \bf{C}_+$, that converge uniformly on proper half-planes of $\bf{C}_+
Externí odkaz:
http://arxiv.org/abs/2404.03616
Autor:
Brudnyi, Alexander
Let $\mathbb D^n\subset\mathbb C^n$ be the open unit polydisk, $K\subset\mathbb D^n$ be an $n$-ary Cartesian product of planar sets, and $\hat U\subset \mathfrak M^n$ be an open neighbourhood of the closure $\bar K$ of $K$ in $\mathfrak M^n$, where $
Externí odkaz:
http://arxiv.org/abs/2401.17614
Autor:
Brudnyi, Alexander
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 stable rank one and are projective free if they do not contain nontriv
Externí odkaz:
http://arxiv.org/abs/2210.10287
Autor:
Brudnyi, Alexander
The paper describes homomorphisms between Douglas algebras and some semisimple Banach algebras. The main tool is a result on the structure of the space $C(Z,\mathfrak M)$ of continuous mappings from a connected first-countable $T_1$ space $Z$ to the
Externí odkaz:
http://arxiv.org/abs/2208.13270
Autor:
Brudnyi, Alexander
We study the differential equation $\frac{\partial G}{\partial\bar z}=g$ with an unbounded Banach-valued Bochner measurable function $g$ on the open unit disk $\mathbb D\subset\mathbb C$. We prove that under some conditions on the growth and essentia
Externí odkaz:
http://arxiv.org/abs/2208.11238
Autor:
Brudnyi, Alexander, Sasane, Amol
The paper studies projective freeness and Hermiteness of algebras of complex-valued continuous functions on topological spaces, Stein algebras, and commutative unital Banach algebras. New sufficient cohomology conditions on the maximal ideal spaces o
Externí odkaz:
http://arxiv.org/abs/2208.04901
Autor:
Brudnyi, Alexander
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 interpolation theorem. In particular, we prove the following nonlinear v
Externí odkaz:
http://arxiv.org/abs/2106.06578
Autor:
Brudnyi, A., Brudnyi, Yu.
We introduce and study spaces of multivariate functions of bounded variation generalizing the classical Jordan and Wiener spaces. Multivariate generalizations of the Jordan space were given by several prominent researchers but each of them preserved
Externí odkaz:
http://arxiv.org/abs/1811.07233
Autor:
Brudnyi, A.
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 holomorphic functions on a closed bordered Riemann surface can be writt
Externí odkaz:
http://arxiv.org/abs/2010.12903
Autor:
Brudnyi, A.
We prove that the Bass stable rank of the algebra of bounded holomorphic functions on an unbranched covering of a finite bordered Riemann surface is equal to one.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2007.05420