Stability of weighted point evaluation functionals

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URI: http://hdl.handle.net/10902/3364
ISSN: 0002-9939
ISSN: 1088-6826
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Author
Araujo Gómez, JesúsAutoridad Unican; Font, Juan J.
Date
2010-09
Derechos
First published in Proceedings of the AMS in vol 138, (2010), published by the American Mathematical Society © 2010 American Mathematical Society
Publicado en
Proceedings of the American Mathematical Society, vol. 138, no. 9, p. 3163-3170 (2010)
Publisher
American Mathematical Society
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Abstract:
Given ε > 0, a continuous linear functional φ on C(X) is said to be ε-disjointness preserving if |φ(f)φ(g)| ≤ ε whenever f, g ∈ C(X) satisfy ║f║∞ = ║g║∞ = 1 and fg ≡ 0. In this paper we provide the exact maximal distance from ε-disjointness preserving linear functionals to the set of weighted point evaluation functionals.
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