Turkish Journal of Mathematics
Abstract
Let $M, N $ be Orlicz functions, and let $D(\ell_M , \ell_N ) $ be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces $\ell_M$ and $\ell_N$. We prove that the space of multipliers $D(\ell_M , \ell_N )$ coincides with (and is isomorphic to) the Orlicz sequence space $ \ell_{M_N^{*}} ,$ where $ M_N^{*} $ is the Orlicz function defined by $M_N^{*}(\lambda ) = \sup \{ N(\lambda x) - M(x), \; x \in (0,1) \}$.
DOI
-
Keywords
Orlicz sequence space, multipliers.
First Page
313
Last Page
319
Recommended Citation
DJAKOV, P. B, & RAMANUAN, M. S (2000). Multipliers between Orlicz Sequence Spaces. Turkish Journal of Mathematics 24 (3): 313-319. https://doi.org/-
