TY - JOUR
AU - Zagorodnyuk, A.
AU - Hihliuk, A.
PY - 2021/09/26
Y2 - 2022/01/25
TI - Algebras of entire functions containing functions of unbounded type on a Banach space
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 13
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.13.2.426-432
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/5336
SP - 426-432
AB - In this paper, we consider algebras of entire analytic functions which are bounded on a prescribed family of balls in a Banach space. We investigate the structures of such algebras and describe their spectra in terms of spectra of algebras of uniformly continuous analytic functions. Some partial examples are considered. In particular, we have complete descriptions of the spectra for the case of Tsirelson space and for $c_0$.
ER -