Homomorphisms and functional calculus in algebras of entire functions on Banach spaces

H.M. Pryimak

doi:10.15330/cmp.7.1.108-113

Homomorphisms and functional calculus in algebras of entire functions on Banach spaces

Authors

H.M. Pryimak Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine

https://doi.org/10.15330/cmp.7.1.108-113

Keywords:

Aron-Berner extension, functional calculus, algebras of analytic functions on Banach spaces

Published online: 2015-07-03

Abstract

In the paper the homomorphisms of algebras of entire functions on Banach spaces to a commutative Banach algebra are studied. In particular, it is proposed a method of constructing of homomorphisms vanishing on homogeneous polynomials of degree less or equal than a fixed number $n$.