Multipliers between Orlicz sequence spaces (Q2703124)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multipliers between Orlicz sequence spaces |
scientific article |
Statements
7 January 2002
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multiplier
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Orlicz sequence space
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Orlicz functions
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Multipliers between Orlicz sequence spaces (English)
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Let \(M\) and \(N\) be two Orlicz functions, and \(M^\ast_N(s)=\max(0, \sup_{0\leq t\leq 1}[N(st)-M(t)])\), \(s\geq 0\). It is shown that the space of all multipliers from \(\ell_M\) to \(\ell_N\) is isomorphic to \(\ell_{M_n^\ast}\).
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