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On the controlled separable projection property for some C(K) spaces

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Abstract

We give necessary and sufficient conditions for a compact K in order to guarantee that C(K) enjoys the controlled separable projection property (CSPP). As a consequence, we obtain an example of a scattered compact K such that C(K) is not injected into a Hilbert space, although C(K)* is, and nevertheless C(K) does not have the CSPP.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Valencia, Dr. Moliner, 50, 46100, Burjasot (Valencia), Spain

    J. Ferrer

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  1. J. Ferrer
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Correspondence to J. Ferrer.

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The author has been partially supported by MEC and FEDER Project MTM2005-08210.

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Ferrer, J. On the controlled separable projection property for some C(K) spaces. Acta Math Hung 124, 145–154 (2009). https://doi.org/10.1007/s10474-009-8165-3

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  • DOI: https://doi.org/10.1007/s10474-009-8165-3

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