Multipliers and the relative completion in $\L^p_w(G)

Quek and Yap defined a relative completion $\widetilde A$ for a linear subspace A of $L^p(G)$, $1\leq p < \infty$; and proved that there is an isometric isomorphism, between $Hom_{L^1(G)}(L^1(G)$, A) and $\widetilde A$, where $Hom_{L^1(G)}(L^1(G)$,A) is the space of the module homomorphisms (...

Full description

Saved in:
Bibliographic Details
Published in:Turkish journal of mathematics 2007, Vol.31 (2), p.181-191
Main Authors: DUYAR, C, GÜRKANLI, A. T
Format: Article
Language:English
Subjects:
Ağırlıklı uzay
Bitim işlemleri
finishing
Homomorfizm
Homomorphism
Matematik
Mathematics
multiplier
Weighted space
Çoklayıcı
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Quek and Yap defined a relative completion $\widetilde A$ for a linear subspace A of $L^p(G)$, $1\leq p < \infty$; and proved that there is an isometric isomorphism, between $Hom_{L^1(G)}(L^1(G)$, A) and $\widetilde A$, where $Hom_{L^1(G)}(L^1(G)$,A) is the space of the module homomorphisms (or multipliers) from $L^1(G)$ to A. Inth e present, we defined a relative completion $\widetilde A$ for a linear subspace A of $L^p_w(G)$ ,where w is a Beurling's weighted function and $L^p_w(G)$ is the weighted $L^p(G)$ space, ([14]). Also, we proved that there is an algeabric isomorphism and homeomorphism, between $Hom_{L^1_w(G)}(L^1_w(G)$,A) and $\widetilde A$. At the end of this work we gave some applications and examples.
ISSN:1300-0098
1303-6149