Fréchet Derivative and Analytic Functional Calculus

  • Dragan S. DjordjevićEmail author


We calculate Fréchet derivatives of the mapping \(a\mapsto f(a)\), where a is a member of a complex unital Banach algebra and f is a complex analytic function in a neighborhood of the spectrum of a. Thus, the connection between the Fréchet derivative and the analytic functional calculus is established.


Fréchet derivative Analytic functional calculus 

Mathematics Subject Classification

46G05 4A60 



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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Sciences and MathematicsUniversity of NišNisSerbia

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