TWO-POINT AND n TH DERIVATIVE NORM INEQUALITIES FOR ANALYTIC FUNCTIONS IN BANACH ALGEBRAS

Let B be a unital Banach algebra, let a [member of] B, G be a convex domain of C with [sigma](a) [subset] G, let [alpha], [beta] [member of] G, and let f : G [right arrow] C be analytic on G. By using the analytic functional calculus, we obtain (among others) the following result: [Please download t...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2023-01, Vol.74 (8), p.1240
Main Author: Dragomir, S.S
Format: Article
Language:English
Subjects:
Algebra
Online Access:Get full text
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Summary:Let B be a unital Banach algebra, let a [member of] B, G be a convex domain of C with [sigma](a) [subset] G, let [alpha], [beta] [member of] G, and let f : G [right arrow] C be analytic on G. By using the analytic functional calculus, we obtain (among others) the following result: [Please download the PDF to view the mathematical expression] Some examples of exponential functions on Banach algebras are also presented.
ISSN:0041-5995
DOI:10.1007/s11253-023-02132-7