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Garrido, M. Isabel and Gómez Gil, Javier and Jaramillo Aguado, Jesús Ángel
(1995)
*Characters of function algebras on Banach spaces.*
In
Function spaces.
Lecture Notes in Pure and Applied Mathematics
(172).
Dekker, New York, pp. 139-145.
ISBN 0-8247-9665-9

## Abstract

The authors survey some recent results concerning the question when the equality HomA=E holds for a subalgebra A of the algebra C(E) of continuous real-valued functions on a real Banach space E. A new natural proof for this equality is given in the case when A is the algebra of real-valued rational functions, or the algebra of real-analytic functions on E=lp(I), 1<p<∞, where I is assumed to have non-real-valued measurable cardinal. This result was proved more generally for index sets I having non-measurable cardinal by the same authors [Canad. J. Math. 46 (1994), no. 4, 734–745

Item Type: | Book Section |
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Additional Information: | Proceedings of the Second Conference held at Southern Illinois University, Edwardsville, Illinois, May 24–28, 1994 |

Uncontrolled Keywords: | ZFC; character; evaluation; axioms of set theory |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 21701 |

Deposited On: | 05 Jun 2013 16:01 |

Last Modified: | 12 Dec 2018 15:13 |

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