[EN] The Cluster Value Theorem is known for being a weak version of the classical Corona Theorem. Given a Banach space X, we study the Cluster Value Problem for the ball algebra A(u)(B-X), the Banach algebra of all uniformly ...
[EN] While the article was in publication process, we found a mistake in a key tool for the proof one of the main results. As a consequence, our result on the ball A(u)(B-X) algebra remains open. For the algebra H-b(X) we ...
Aron, Richard M.; Bonet Solves, José Antonio; Maestre, Manuel(Springer-Verlag, 2024-03)
[EN] Let B(N )be the Euclidean ball of C-N. The space H-infinity(B-N) of bounded holomorphic functions on B-N is known to have a predual, denoted by G(infinity)(B-N). We study the functions in H-infinity(B-N) that attain ...