Strictly diagonal holomorphic functions on Banach spaces

In this paper we investigate the boundedness of holomorphic functionals on a Banach space with a normalized basis $\{e_n\}$ which have a very special form $f(x)=f(0)+\sum_{n=1}^\infty c_nx_n^n$ and which we call strictly diagonal. We consider under which conditions strictly diagonal functions are en...

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Bibliographic Details
Main Authors: O.I. Fedak, A.V. Zagorodnyuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2015-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1405