Multipliers between Orlicz Sequence Spaces

Authors : P. B. DJAKOV

Pages : 313-319

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let M, N be Orlicz functions, and let Dinsert ignore into journalissuearticles values(\ellM , \ellN ); be the space of all diagonal operators insert ignore into journalissuearticles values(that is multipliers); acting between the Orlicz sequence spaces \ellM and \ellN. We prove that the space of multipliers Dinsert ignore into journalissuearticles values(\ellM , \ellN ); coincides with insert ignore into journalissuearticles values(and is isomorphic to); the Orlicz sequence space \ellMN* , where MN* is the Orlicz function defined by MN*insert ignore into journalissuearticles values(l ); = \sup \{ Ninsert ignore into journalissuearticles values(l x); - Minsert ignore into journalissuearticles values(x);, \; x \in insert ignore into journalissuearticles values(0,1); \}.
Keywords : Orlicz sequence space, multipliers