6533b833fe1ef96bd129c45d

RESEARCH PRODUCT

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

Richard M. AronVer��nica DimantSilvia LassalleManuel Maestre

subject

Mathematics - Functional AnalysisMathematics::Functional AnalysisFOS: Mathematics46J15 30H50 46E50 30H05Functional Analysis (math.FA)

description

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 $X = c_0.$

yearjournalcountryeditionlanguage
2019-02-05
http://arxiv.org/abs/1902.01735