TY - JOUR
AU - Fedak, O.I.
AU - Zagorodnyuk, A.V.
PY - 2015/12/24
Y2 - 2024/09/12
TI - Strictly diagonal holomorphic functions on Banach spaces
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 7
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.7.2.254-258
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/1405
SP - 254-258
AB - <p><a name="__DdeLink__173_1987735065"></a> 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.</p>
ER -