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Palabra: MULTIPLIER ALGEBRA (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: 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$.

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Shunsuke, Takagi
Título: Formulas for multiplier ideals on singular varieties
Páginas/Colación: pp. 1345-1362
Url: Ir a http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm128.6_tex.html#128.6takagihttp://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm128.6_tex.html#128.6takagi
América Journal Of Mathematics Vol. 128, no. 6 December 2006
Información de existenciaInformación de existencia

Resumen
RESUMEN

RESUMEN

 

We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustaţă's summation formula for multiplier ideals to the case of singular varieties, using characteristic p methods. As an application of our formula, we improve Hochster-Huneke's result on the growth of symbolic powers of ideals in singular affine algebras.We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Musta\c t\v a's summation formula for multiplier ideals to the case of singular varieties, using characteristic $p$ methods. As an application of our formula, we improve Hochster-Huneke's result on the growth of symbolic powers of ideals in singular affine algebras.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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