Generating the group of transformations of [0,1] (Q580530)
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scientific article; zbMATH DE number 4017250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generating the group of transformations of [0,1] |
scientific article; zbMATH DE number 4017250 |
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Generating the group of transformations of [0,1] (English)
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1987
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It is given an example of a pair of transformations which generate a dense subgroup of the group of all invertible, measurable, non-singular transformations of the unit interval \([0,1]\) onto itself. This implies that there exist two positive invertible isometries which generate a dense subalgebra of \({\mathcal L}(L^ p[0,1])\quad (1<p<\infty)\) in strong operator topology.
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group of invertible measurable non-singular transformations
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coarse topology
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dense subgroup
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0.7653703689575195
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0.7311604619026184
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0.7148921489715576
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