Note on bases in algebras of analytic functions on Banach spaces

Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent  homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder (perhaps absolute) basis in the minimal subal...

Full description

Bibliographic Details
Main Authors: I.V. Chernega, A.V. Zagorodnyuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2019-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1506