Turkish Journal of Mathematics
DOI
-
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 $M_N^{*}(\lambda ) = \sup \{ N(\lambda x) - M(x), \; x \in (0,1) \}$.
Keywords
Orlicz sequence space, multipliers.
First Page
313
Last Page
319
Recommended Citation
DJAKOV, P. B. and RAMANUAN, M. S. (2000) "Multipliers between Orlicz Sequence Spaces," Turkish Journal of Mathematics: Vol. 24: No. 3, Article 11. Available at: https://journals.tubitak.gov.tr/math/vol24/iss3/11
