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Palabra: APPROXIMATE IDENTITY (Palabras)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Weng, Ruby C. ; Woodroofe, Michael
Título: Approximate confidence sets for a stationary AR(p) process
Páginas/Colación: p2719-2745, 27p
Journal of Statistical Planning and Inference v. 136 n° 8 August 2006
Información de existenciaInformación de existencia

Resumen
Approximate confidence intervals are derived for the autoregressive parameters of a stationary, Gaussian auto-regressive process of arbitrary order and shown to be asymptotically correct to order o(1/n), where n is the sample size. Simulation studies are included for small and moderate sample sizes for the case of two auto-regressive parameters, and these indicate excellent approximation for sample sizes as small as n=10,20. The convergence is in the very weak sense, and the derivation differs from most existing work through its direct focus on Studentized estimation error and its use of Stein's identity.

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Miao , Tianxuan
Título: Approximation properties and approximate identities of Ap(G)
Páginas/Colación: pp. 1581-1595
Fecha: March 2009
Transactions of the American Mathematical Society Vol. 361, no.3 March 2009
Información de existenciaInformación de existencia

Palabras Claves: Palabras: AMENABLE GROUPS AMENABLE GROUPS, Palabras: APPROXIMATE IDENTITY APPROXIMATE IDENTITY, Palabras: APPROXIMATION PROPERTY APPROXIMATION PROPERTY, Palabras: HERZ ALGEBRA HERZ ALGEBRA, Palabras: MULTIPLIER ALGEBRA MULTIPLIER ALGEBRA

Resumen
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For a locally compact group $ G$and $ 1 < p < \infty $, let $ A_{p}(G)$be the Figà-Talamanca-Herz algebra. Then the multiplier algebra $ MA_{p}(G)$of $ A_{p}(G)$is a dual space. We say that $ A_{p}(G)$has the approximation property (or simply, AP) in $ MA_{p}(G)$if there is a net $ \{ u_{\alpha } \}$in $ A_{p}(G)$such that $ u_{\alpha }\rightarrow 1$in the associated $ weak^{*}$topology. We prove that $ A_{p}(G)$has the AP in $ MA_{p}(G)$if and only if there exists a net $ \{ a_{\alpha } \}$in $ A_{p}(G)$such that $ \Vert a_{\alpha } a - a\Vert_{A_{p}(G)}\rightarrow 0$uniformly for $ a$in any compact subset of $ A_{p}(G)$. Consequently, we have that if $ A_{p}(G)$has the AP in $ MA_{p}(G)$, then $ A_{p}(G)$has the approximation property as a Banach space in the sense of Grothendieck for a discrete group $ G$. We also study the relationship between the AP of $ A_{p}(G)$in $ MA_{p}(G)$and the weak amenability of $ G$.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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