@article{Fedak_Zagorodnyuk_2015, title={Strictly diagonal holomorphic functions on Banach spaces}, volume={7}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1405}, DOI={10.15330/cmp.7.2.254-258}, abstractNote={<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>}, number={2}, journal={Carpathian Mathematical Publications}, author={Fedak, O.I. and Zagorodnyuk, A.V.}, year={2015}, month={Dec.}, pages={254–258} }