A diagonal theorem in non-commutative groups and its consequences (Q684368)
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scientific article; zbMATH DE number 411643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A diagonal theorem in non-commutative groups and its consequences |
scientific article; zbMATH DE number 411643 |
Statements
A diagonal theorem in non-commutative groups and its consequences (English)
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13 September 1993
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The author proves a diagonal theorem for matrices with coefficients in noncommutative groups and deduces from it noncommutative versions of Phillips lemma, of the Brooks-Jewett-Nikodým convergence theorem and of the Banach-Pettis theorem on continuity of pointwise limits of continuous homomorphisms.
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diagonal theorem
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Phillips lemma
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Brooks-Jewett-Nikodým convergence theorem
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Banach-Pettis theorem
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