Turkish Journal of Mathematics
Article Title
DOI
-
Abstract
Quek and Yap defined a relative completion à 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 Ã, where Hom_{L^1(G)}(L^1(G),A) is the space of the module homomorphisms (or multipliers) from L^1(G) to A. In the present, we defined a relative completion à for a linear subspace A of L_w^p(G) ,where w is a Beurling's weighted function and L_w^p(G) is the weighted L^p(G) space, ([14]). Also, we proved that there is an algeabric isomorphism and homeomorphism, between Hom_{L_w^1(G)} (L_w^1(G),A) and Ã. At the end of this work we gave some applications and examples.
First Page
181
Last Page
191
Recommended Citation
DUYAR, CENAP and GÜRKANLI, A. TURAN (2007) "Multipliers and the Relative Completion in L_w^p(G)," Turkish Journal of Mathematics: Vol. 31: No. 2, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol31/iss2/6
