On sequence spaces defined by a regularly varying modulus (Q2711466)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sequence spaces defined by a regularly varying modulus |
scientific article |
Statements
4 March 2002
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\(F\)-seminormed solid sequence space
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modulus function
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On sequence spaces defined by a regularly varying modulus (English)
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Let \(\lambda\) be an \(F\)-seminormed solid sequence space, and let \(f\) be a modulus function which is regularly varying at infinity and at the origin. The author studies when the space \(\lambda(f):= \{(x_k)\mid (f(|x_k|)_k\in \lambda\}\) is \(F\)-seminormable, too. Some examples are given.
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