Gleason parts for algebras of holomorphic functions on the ball of $\mathbf{c_0}$

Autor: Aron, Richard M., Dimant, Verónica, Lassalle, Silvia, Maestre, Manuel
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: For a complex Banach space $X$ with open unit ball $B_X,$ consider the Banach algebras $\mathcal H^\infty(B_X)$ of bounded scalar-valued holomorphic functions and the subalgebra $\mathcal A_u(B_X)$ of uniformly continuous functions on $B_X.$ Denoting either algebra by $\mathcal A,$ we study the Gleason parts of the set of scalar-valued homomorphisms $\mathcal M(\mathcal A)$ on $\mathcal A.$ Following remarks on the general situation, we focus on the case $X = c_0.$
Databáze: arXiv