# Multiplicative functionals and entire functions

Studia Mathematica (1996)

- Volume: 119, Issue: 3, page 289-297
- ISSN: 0039-3223

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topJarosz, Krzysztof. "Multiplicative functionals and entire functions." Studia Mathematica 119.3 (1996): 289-297. <http://eudml.org/doc/216301>.

@article{Jarosz1996,

abstract = {Let A be a complex Banach algebra with a unit e, let T, φ be continuous functionals, where T is linear, and let F be a nonlinear entire function. If T ∘ F = F ∘ φ and T(e) = 1 then T is multiplicative.},

author = {Jarosz, Krzysztof},

journal = {Studia Mathematica},

keywords = {multiplicative functionals; nonlinear entire function; multiplicative},

language = {eng},

number = {3},

pages = {289-297},

title = {Multiplicative functionals and entire functions},

url = {http://eudml.org/doc/216301},

volume = {119},

year = {1996},

}

TY - JOUR

AU - Jarosz, Krzysztof

TI - Multiplicative functionals and entire functions

JO - Studia Mathematica

PY - 1996

VL - 119

IS - 3

SP - 289

EP - 297

AB - Let A be a complex Banach algebra with a unit e, let T, φ be continuous functionals, where T is linear, and let F be a nonlinear entire function. If T ∘ F = F ∘ φ and T(e) = 1 then T is multiplicative.

LA - eng

KW - multiplicative functionals; nonlinear entire function; multiplicative

UR - http://eudml.org/doc/216301

ER -

## References

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- [6] K. Jarosz, Generalizations of the Gleason-Kahane-Żelazko theorem, Rocky Mountain J. Math. 21 (1991), 915-921. Zbl0781.46035
- [7] J.-P. Kahane and W. Żelazko, A characterization of maximal ideals in commutative Banach algebras, Studia Math. 29 (1968), 339-343. Zbl0155.45803
- [8] G. Pólya and G. Szegö, Problems and Theorems in Analysis II, Springer, 1976.
- [9] Z. Sawoń and A. Warzecha, On the general form of subalgebras of codimension 1 of Banach algebras with a unit, Studia Math. 29 (1968), 249-260. Zbl0157.20504
- [10] W. Żelazko, A characterization of multiplicative linear functionals in complex Banach algebras, ibid. 30 (1968), 83-85. Zbl0162.18504

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