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Composition operators between algebras of uniformly continuous functions

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Abstract.

A characterization of uniform continuity for maps between unit balls of real Banach spaces is given in terms of universal properties. Also, it is shown that the classes of compact and weakly compact composition operators induced by such maps agree.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apartado de Correos 1160, E-41080 Sevilla, Spain, , , , , , ES

    Miguel Lacruz

  2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040 Madrid, Spain, , , , , , ES

    José G. Llavona

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  1. Miguel Lacruz
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  2. José G. Llavona
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Received: 13.6.1996, final version received 30.1.1997.

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Lacruz, M., Llavona, J. Composition operators between algebras of uniformly continuous functions. Arch. Math. 69, 52–56 (1997). https://doi.org/10.1007/s000130050092

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  • DOI: https://doi.org/10.1007/s000130050092

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