Stability of weighted point evaluation functionals
View/ Open
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Stability of weighted point evaluation functionalsDate
2010-05-12Publisher
American Mathematical SocietyISSN
0002-9939; 1088-6826Bibliographic citation
Proceedings of the American Mathematical Society (2010), vol. 138, no. 9, p. 3163-3170Type
info:eu-repo/semantics/articlePublisher version
http://www.ams.org/journals/proc/2010-138-09/S0002-9939-10-10214-7/S0002-9939-10 ...Version
info:eu-repo/semantics/publishedVersionSubject
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 ... [+]
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. [-]
Rights
http://rightsstatements.org/vocab/CNE/1.0/
© American Mathematical Society
info:eu-repo/semantics/openAccess
© American Mathematical Society
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [751]