Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

In the paper we establish some conditions under which a given sequence of polynomials on a Banach space <i>X</i> supports entire functions of unbounded type, and construct some counter examples. We show that if <i>X</i> is an infinite dimensional Banach space, then the set of...

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Bibliographic Details
Main Authors: Andriy Zagorodnyuk, Anna Hihliuk
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/3/150