Banach Algebras and Several Complex Variables

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Analysis Synerg. Quaestiones Mathematicae 40 , Demonstratio Math. Studia Math. Acta Applicandae Mathematicae , Korean Math. Annals Funct. Analysis 7 , Archiv Math.

Belgian Math. Acta Math. Hungarica , Complex Anal.

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Theory 7 , Analysis , Zeitschrift , Magazine 85 , Function Spaces Appl. Paris , Indiana Univ.

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Algebra i Analyz 23 , Petersburg Math. Integral Equations Operator Theory 71 , Computational Methods and Function Theory 11 , Theory 5 , Analysis Mathematica 36 , Michigan Math. Houston J.

Israel J. Indian Acad.

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London Math. Monatshefte Math. I was searching for the description of its dual space, but I could not find anything.

My question is if its dual space can be described in terms of some measures on the boundary. Can anyone give me some reference on it?

Several Complex Variables and Banach Algebras

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Part I: Complex Variables, Lec 1: The Complex Numbers

Home Questions Tags Users Unanswered. Dual of the space of all bounded holomorphic functions Ask Question. Asked 1 year, 4 months ago. Viewed times. Thank you. Anindya Biswas Anindya Biswas 1 1 silver badge 9 9 bronze badges. Therefore, the Gelfand representation is injective.


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It is also isometric. A good reference is Hoffman's Banach spaces of analytic functions.