MULTIPLIERS AND RELATIVE COMPLETION IN WEIGHTED LORENTZ SPACES

Autor: Duyar Cenap, A. Turan Gürkanli
Rok vydání: 2003
Předmět:
Zdroj: Acta Mathematica Scientia. 23:467-476
ISSN: 0252-9602
DOI: 10.1016/s0252-9602(17)30490-3
Popis: Let G be a locally compact Abelian group with Haar measure μ. In the present paper, first the authors discussed some properties of weighted Lorentz space. Then they defined the relative completion A of a subspace A of the weighted Lorentz space, and showed that the space of the multipliers from L ω 1 ( G ) to A is algebrically isomorphic and homeomorphic to A.
Databáze: OpenAIRE