Stability of weighted point evaluation functionals
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Títol
Stability of weighted point evaluation functionalsData de publicació
2010-05-12Editor
American Mathematical SocietyISSN
0002-9939; 1088-6826Cita bibliogràfica
Proceedings of the American Mathematical Society (2010), vol. 138, no. 9, p. 3163-3170Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.ams.org/journals/proc/2010-138-09/S0002-9939-10-10214-7/S0002-9939-10 ...Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 ... [+]
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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© American Mathematical Society
info:eu-repo/semantics/openAccess
© American Mathematical Society
info:eu-repo/semantics/openAccess
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