Pseudo-hyperbolic distance and Gleason parts of the algebra of bounded hyper-analytic functions on the big disk (Q491368)

The content of this paper is best described by its abstract: ``Let \(G\) be the compact group of all characters of the additive group of rational numbers, and let \(H^\infty_G\) be the Banach algebra of so-called hyper-analytic functions on the big disk \(\Delta_G\). We characterise the pseudo-hyperbolic distance of the algebra \(H^\infty_G\) in terms of the pseudo-hyperbolic distance of the algebra \(H^\infty\) and establish relationships between Gleason parts in \(M(H^\infty_G)\) and \(M(H^\infty)\).''