# Homomorphisms between algebras of holomorphic functions in infinite dimensional spaces

Luciano O. Condori; M. Lilian Lourenço

Mathematica Bohemica (2007)

- Volume: 132, Issue: 3, page 237-241
- ISSN: 0862-7959

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topCondori, Luciano O., and Lourenço, M. Lilian. "Homomorphisms between algebras of holomorphic functions in infinite dimensional spaces." Mathematica Bohemica 132.3 (2007): 237-241. <http://eudml.org/doc/250256>.

@article{Condori2007,

abstract = {It is shown that a homomorphism between certain topological algebras of holomorphic functions is continuous if and only if it is a composition operator.},

author = {Condori, Luciano O., Lourenço, M. Lilian},

journal = {Mathematica Bohemica},

keywords = {holomorphic function; continuous homomorphism; holomorphic function; continuous homomorphism},

language = {eng},

number = {3},

pages = {237-241},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Homomorphisms between algebras of holomorphic functions in infinite dimensional spaces},

url = {http://eudml.org/doc/250256},

volume = {132},

year = {2007},

}

TY - JOUR

AU - Condori, Luciano O.

AU - Lourenço, M. Lilian

TI - Homomorphisms between algebras of holomorphic functions in infinite dimensional spaces

JO - Mathematica Bohemica

PY - 2007

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 132

IS - 3

SP - 237

EP - 241

AB - It is shown that a homomorphism between certain topological algebras of holomorphic functions is continuous if and only if it is a composition operator.

LA - eng

KW - holomorphic function; continuous homomorphism; holomorphic function; continuous homomorphism

UR - http://eudml.org/doc/250256

ER -

## References

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- Complex Analysis in Banach Spaces, Math. Stud. Vol. 120, North-Holland, 1986. (1986) Zbl0586.46040MR0842435
- On the topology of the space of all holomorphic functions on a given open subset, Indag. Math. 29 (1967), 366–368. (1967) Zbl0147.11402MR0215066
- Topics on Topological Vector Spaces, Textos de Métodos Matemáticos da Universidade Federal do Rio de Janeiro, 1974. (1974)
- Not every Banach space contains an imbedding of ${\ell}_{p}$ or ${\text{c}}_{0}$, Funct. Anal. Appl. 8 (1974), 138–144. (1974)

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