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Subjects
46-XX Functional analysis
46Hxx Topological algebras, normed rings and algebras, Banach algebras
46H30 Functional calculus in topological algebras

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Möbius transformations and monogenic functional calculus.

Kisil, Vladimir V. (1996)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Multiplicative functionals and entire functions

Krzysztof Jarosz (1996)

Studia Mathematica

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.

Multiplicative functionals and entire functions, II

Krzysztof Jarosz (1997)

Studia Mathematica

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.

Currently displaying 1 – 3 of 3

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