Strictly diagonal holomorphic functions on Banach spaces
| Autor: | O.I. Fedak, A.V. Zagorodnyuk |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 7, Iss 2, Pp 254-258 (2015) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 |
| DOI: | 10.15330/cmp.7.2.254-258 |
| Popis: | 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 entire and uniformly continuous on every ball of a fixed radius. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|