# Multiplicative functionals and entire functions, II

Studia Mathematica (1997)

- Volume: 124, Issue: 2, page 193-198
- ISSN: 0039-3223

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topJarosz, Krzysztof. "Multiplicative functionals and entire functions, II." Studia Mathematica 124.2 (1997): 193-198. <http://eudml.org/doc/216408>.

@article{Jarosz1997,

abstract = {Let A be a complex Banach algebra with a unit e, let F be a nonconstant entire function, and let T be a linear functional with T(e)=1 and such that T∘F: A → ℂ is nonsurjective. Then T is multiplicative.},

author = {Jarosz, Krzysztof},

journal = {Studia Mathematica},

keywords = {Banach algebras; multiplicative functionals; entire functions},

language = {eng},

number = {2},

pages = {193-198},

title = {Multiplicative functionals and entire functions, II},

url = {http://eudml.org/doc/216408},

volume = {124},

year = {1997},

}

TY - JOUR

AU - Jarosz, Krzysztof

TI - Multiplicative functionals and entire functions, II

JO - Studia Mathematica

PY - 1997

VL - 124

IS - 2

SP - 193

EP - 198

AB - Let A be a complex Banach algebra with a unit e, let F be a nonconstant entire function, and let T be a linear functional with T(e)=1 and such that T∘F: A → ℂ is nonsurjective. Then T is multiplicative.

LA - eng

KW - Banach algebras; multiplicative functionals; entire functions

UR - http://eudml.org/doc/216408

ER -

## References

top- [1] R. Arens, On a theorem of Gleason, Kahane and Żelazko, Studia Math. 87 (1987), 193-196. Zbl0649.46044
- [2] C. Badea, The Gleason-Kahane-Żelazko theorem, Rend. Circ. Mat. Palermo Suppl. 33 (1993), 177-188.
- [3] J. B. Conway, Functions of One Complex Variable, Grad. Texts in Math. 11, Springer, 1986.
- [4] J. B. Conway, Functions of One Complex Variable II, Grad. Texts in Math. 159, Springer, 1995.
- [5] A. M. Gleason, A characterization of maximal ideals, J. Anal. Math. 19 (1967), 171-172. Zbl0148.37502
- [6] K. Jarosz, Generalizations of the Gleason-Kahane-Żelazko theorem, Rocky Mountain J. Math. 21 (1991), 915-921. Zbl0781.46035
- [7] K. Jarosz, Multiplicative functionals and entire functions, Studia Math. 119 (1996), 289-297. Zbl0868.46037
- [8] J.-P. Kahane and W. Żelazko, A characterization of maximal ideals in commutative Banach algebras, ibid. 29 (1968), 339-343. Zbl0155.45803
- [9] W. Żelazko, A characterization of multiplicative linear functionals in complex Banach algebras, ibid. 30 (1968), 83-85. Zbl0162.18504

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