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Lobachevskii Journal of Mathematics, 2005, том 18, страницы 21–32
(Mi ljm63)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On innerness of derivations on $\mathcal{S(H)}$
A. L. Barrenechea, C. C. Peña Universidad Nacional del Centro de la Provincia de Buenos Aires
Аннотация:
We consider general bounded derivations on the Banach algebra of Hilbert–Schmidt operators on an underlying complex infinite dimensional separable Hilbert space $\mathcal H$. Their structure is described by means of unique infinite matrices. Certain classes of derivations are identified together in such a way that they correspond to a unique matrix derivation. In
particular, Hadamard derivations, the action of general derivations on Hilbert–Schmidt and nuclear operators and questions about innerness are considered.
Ключевые слова:
Hilbert–Schmidt and nuclear operator, Nearly-inner matrices, Hadamard products.
Образец цитирования:
A. L. Barrenechea, C. C. Peña, “On innerness of derivations on $\mathcal{S(H)}$”, Lobachevskii J. Math., 18 (2005), 21–32
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ljm63 https://www.mathnet.ru/rus/ljm/v18/p21
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Страница аннотации: | 182 | PDF полного текста: | 57 | Список литературы: | 35 |
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