On certain sequence spaces. II (Q1902922)
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scientific article; zbMATH DE number 823352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain sequence spaces. II |
scientific article; zbMATH DE number 823352 |
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On certain sequence spaces. II (English)
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26 February 1996
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Summary: [For part I see the author, Can. Math. Bull. 24, 169-176 (1981; Zbl 0454.46010).] We define the space \(c_0 (\Delta)=\{x= (x_k)/ x_k- k_{k-1} \to 0\) \((k\to \infty)\), \(x_0= 0\), \(x_k\in \mathbb{C}\}\) and compute its duals (continuous dual, \(\beta\)-dual and \(N\)-dual). The aim of this paper is to give the same results about matrix mapping of \(c_0 (\Delta)\) into other sequence spaces including the convergent sequences, null sequences and bounded sequences.
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null dual
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dual
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matrix mapping
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sequence spaces
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