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ArticleOriginal scientific text

Title

Multiplicative functionals and entire functions, II

Authors 1

Affiliations

  1. Southern Illinois University at Edwardsville, Edwardsville, Illinois 62026, U.S.A.

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.

Bibliography

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  9. W. Żelazko, A characterization of multiplicative linear functionals in complex Banach algebras, ibid. 30 (1968), 83-85.
Studia Mathematica
1997/124/2
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Pages:
193-198
Main language of publication
English
Received
1996-10-07
Accepted
1996-12-02
Published
1997
Exact and natural sciences