[HTML][HTML] Projective freeness and Hermiteness of complex function algebras
A Brudnyi, A Sasane - Advances in Mathematics, 2023 - Elsevier
The paper studies projective freeness and Hermiteness of algebras of complex-valued
continuous functions on topological spaces, Stein algebras, and commutative unital Banach …
continuous functions on topological spaces, Stein algebras, and commutative unital Banach …
Banach-valued holomorphic functions on the maximal ideal space of H∞
A Brudnyi - Inventiones mathematicae, 2013 - Springer
We study Banach-valued holomorphic functions defined on open subsets of the maximal
ideal space of the Banach algebra H∞ of bounded holomorphic functions on the unit disk …
ideal space of the Banach algebra H∞ of bounded holomorphic functions on the unit disk …
Oka principle on the maximal ideal space of 𝐻^{∞}
A Brudnyi - St. Petersburg Mathematical Journal, 2020 - ams.org
The classical Grauert and Ramspott theorems constitute the foundation of the Oka principle
on Stein spaces. In this paper, similar results are established on the maximal ideal space …
on Stein spaces. In this paper, similar results are established on the maximal ideal space …
On algebras of Dirichlet series invariant under permutations of coefficients
A Brudnyi, A Sasane - arXiv preprint arXiv:2404.03616, 2024 - arxiv.org
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} …
C}:\text {Re} s> 0\} $ that are limits of Dirichlet series $ D=\sum_ {n= 1}^\infty a_n n^{-s} …
[HTML][HTML] Topology of the maximal ideal space of H∞ revisited
A Brudnyi - Advances in Mathematics, 2016 - Elsevier
Abstract Let M (H∞) be the maximal ideal space of the Banach algebra H∞ of bounded
holomorphic functions on the unit disk D⊂ C. We prove that M (H∞) is homeomorphic to the …
holomorphic functions on the unit disk D⊂ C. We prove that M (H∞) is homeomorphic to the …
[HTML][HTML] On a Banach algebra of entire functions with a weighted Hadamard multiplication
A Sasane - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
New algebraic-analytic properties of a previously studied Banach algebra A (p) of entire
functions are established. For a given fixed sequence (p (n)) n≥ 0 of positive real numbers …
functions are established. For a given fixed sequence (p (n)) n≥ 0 of positive real numbers …
Projective free algebras of bounded holomorphic functions on infinitely connected domains
A Brudnyi - St. Petersburg Mathematical Journal, 2022 - ams.org
The algebra $ H^\infty (D) $ of bounded holomorphic functions on $ D\subset\mathbb {C} $
is projective free for a wide class of infinitely connected domains. In particular, for such $ D …
is projective free for a wide class of infinitely connected domains. In particular, for such $ D …
Homotopical stable ranks for Banach algebras
B Nica - Journal of Functional Analysis, 2011 - Elsevier
The connected stable rank and the general stable rank are homotopy invariants for Banach
algebras, whereas the Bass stable rank and the topological stable rank should be thought of …
algebras, whereas the Bass stable rank and the topological stable rank should be thought of …
[PDF][PDF] An abstract Nyquist criterion containing old and new results
A Sasane - arXiv preprint arXiv:1002.4795, 2010 - arxiv.org
arXiv:1002.4795v1 [math.OC] 25 Feb 2010 Page 1 arXiv:1002.4795v1 [math.OC] 25 Feb
2010 AN ABSTRACT NYQUIST CRITERION CONTAINING OLD AND NEW RESULTS AMOL …
2010 AN ABSTRACT NYQUIST CRITERION CONTAINING OLD AND NEW RESULTS AMOL …