Multipliers between Orlicz Sequence Spaces
Let M, N be Orlicz functions, and let D(\ellM , \ellN ) be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces \ellM and \ellN. We prove that the space of multipliers D(\ellM , \ellN ) coincides with (and is isomorphic to) the Orlicz sequence space \ellMN* , where MN* is the Orlicz function defined by MN*(l ) = \sup \{ N(l x) - M(x), \; x \in (0,1) \}.
Anahtar Kelimeler:
Orlicz sequence space, multipliers.
Multipliers between Orlicz Sequence Spaces
Let M, N be Orlicz functions, and let D(\ellM , \ellN ) be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces \ellM and \ellN. We prove that the space of multipliers D(\ellM , \ellN ) coincides with (and is isomorphic to) the Orlicz sequence space \ellMN* , where MN* is the Orlicz function defined by MN*(l ) = \sup \{ N(l x) - M(x), \; x \in (0,1) \}.
Keywords:
Orlicz sequence space, multipliers.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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