Open AccessHomomorphisms and functional calculus in algebras of entire functions on Banach spaces
Author(s) -
H. M. Pryimak
Publication year - 2015
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.7.1.108-113
Subject(s) - mathematics , homomorphism , commutative property , pure mathematics , banach algebra , homogeneous , algebra over a field , banach space , combinatorics
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 $n$.