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Operator Valued Representations of Function Algebras

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Linear Operators and Approximation II / Lineare Operatoren und Approximation II

Abstract

The purpose of the present expository paper is to discuss basic ideas of operator representations of function algebras. Such representations originated from dilation theory. The relationship between dilations and representations is described in the first section. The second section deals partly with a dilation free approach to representations.

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Author information

Authors and Affiliations

  1. Instytut Matematyczny PAN, Kraków, Poland

    W. Mlak

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  1. W. Mlak
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Editors and Affiliations

  1. Lehrstuhl A für Mathematik, RWTH Aachen, 51, Aachen, West Germany

    P. L. Butzer

  2. Bolai Intézete, József Attila Tudományegyetem, Aradi vértanúk tere 1, Szeged, Hungary

    B. Szőkefalvi-Nagy

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Mlak, W. (1974). Operator Valued Representations of Function Algebras. In: Butzer, P.L., Szőkefalvi-Nagy, B. (eds) Linear Operators and Approximation II / Lineare Operatoren und Approximation II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 25. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5991-2_5

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  • DOI: https://doi.org/10.1007/978-3-0348-5991-2_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5992-9

  • Online ISBN: 978-3-0348-5991-2

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