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Stability of weighted point evaluation functionals

Abstract: Given > 0, a continuous linear functional ? on C(X) is said to be -disjointness preserving if |?(f)?(g)| ? whenever f, g ? C(X) satisfy f ? = g ? = 1 and f g ? 0. In this paper we provide the exact maximal distance from -disjointness preserving linear functionals to the set of weighted point evaluation functionals.

 Authorship: Araujo J., Font J.J.,

 Fuente: Proceedings of the American Mathematical Society, 2010, 138, 3163-3170

 Publisher: American Mathematical Society

 Year of publication: 2010

 No. of pages: 8

 Publication type: Article

 DOI: 10.1090/s0002-9939-10-10214-7

 ISSN: 0002-9939,1088-6826

 Spanish project: MTM2006-14786

 Publication Url: https://doi.org/10.1090/s0002-9939-10-10214-7

Authorship

FONT, JUAN J.