@article{Choi_Jung_2023, title={Boundaries for Gelfand transform images of Banach algebras of holomorphic functions}, volume={129}, url={https://www.mscand.dk/article/view/134348}, DOI={10.7146/math.scand.a-134348}, abstractNote={<p>In this paper, we study boundaries for the Gelfand transform image of infinite dimensional analogues of the classical disk algebras. More precisely, given a certain Banach algebra $\mathcal{A}$ of bounded holomorphic functions on the open unit ball $B_X$ of a complex Banach space $X$, we show that the Shilov boundary for the Gelfand transform image of $\mathcal{A}$ can be explicitly described for a large class of Banach spaces. Some possible application of our result to the famous Corona theorem is also briefly discussed.</p>}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Choi, Yun Sung and Jung, Mingu}, year={2023}, month={Feb.} }