Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry (Q2075923)
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scientific article; zbMATH DE number 7474376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry |
scientific article; zbMATH DE number 7474376 |
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Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry (English)
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16 February 2022
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Banach limits are positive, shift-invariant linear functionals on \(\ell^{\infty}\) which map the constant sequence \((1,1,1,\dots)\) to 1.\par This paper concerns Banach limits and so called independent sequences. Monotonicity properties of Banach limits with respect to Hardy-Littlewood and logarithmic submajorization are also studied and some applications to noncommutative geometry are discussed.
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Banach limits
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independent sequences
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Hardy-Littlewood submajorization
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logarithmic submajorization
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0.8721482753753662
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0.8383219838142395
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