Journals / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 2
Multipliers and the Relative Completion in Lwp(G)
- Pages
- 181–191
- DOI
- —
Abstract
Quek and Yap defined a relative completion à for a linear subspace A of Lp(G), 1 \leq p < \infty ; and proved that there is an isometric isomorphism, between HomL1(G)(L1(G), A) and Ã, where HomL1(G)(L1(G),A) is the space of the module homomorphisms (or multipliers) from L1(G) to A. In the present, we defined a relative completion à for a linear subspace A of Lwp(G) ,where w is a Beurling's weighted function and Lwp(G) is the weighted Lp(G) space, ([14]). Also, we proved that there is an algeabric isomorphism and homeomorphism, between HomLw1(G) (Lw1(G),A) and Ã. At the end of this work we gave some applications and examples.
Özet
Quek and Yap defined a relative completion à for a linear subspace A of Lp(G), 1 \leq p < \infty ; and proved that there is an isometric isomorphism, between HomL1(G)(L1(G), A) and Ã, where HomL1(G)(L1(G),A) is the space of the module homomorphisms (or multipliers) from L1(G) to A. In the present, we defined a relative completion à for a linear subspace A of Lwp(G) ,where w is a Beurling's weighted function and Lwp(G) is the weighted Lp(G) space, ([14]). Also, we proved that there is an algeabric isomorphism and homeomorphism, between HomLw1(G) (Lw1(G),A) and Ã. At the end of this work we gave some applications and examples.