Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
One proves an analog of Glimm's lemma [Trans. Am. Math. Soc., 95, No. 2, 318-340 (1960)] by replacing the uniform norm by the trace norm ∥A∥=tr(AA*)1/2; if the elements of a finite type factor satisfy (up to δ) the relations which have to be satisfied by the matrix units of a finite-dimensional*-algebra A, then in their ε -neighborhoods there exist operators which satisfy exactly these relations and δ depends only on the algebraic type of A and of ε.
Язык оригинала | английский |
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Страницы (с-по) | 280-283 |
Число страниц | 4 |
Журнал | Journal of Soviet Mathematics |
Том | 9 |
Номер выпуска | 2 |
DOI | |
Состояние | Опубликовано - 1 фев 1978 |
ID: 40668662