C. DUYAR, A. T. GÜRKANLI

6886

Multipliers and the Relative Completion in Lwp(G)

Quek and Yap defined a relative completion Ã 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 Ã 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.

Anahtar Kelimeler:

Module homomorphism (or multiplier), relative completion, essential module, weighted Lp(G) space. 1991 AMS subject classification codes 43

Multipliers and the Relative Completion in Lwp(G)

Quek and Yap defined a relative completion Ã 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 Ã 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.

Keywords:

Module homomorphism (or multiplier), relative completion, essential module, weighted Lp(G) space. 1991 AMS subject classification codes 43,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

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