Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We obtain general trace formulae in the case of perturbation of self-adjoint operators by self-adjoint operators of class Sm, where m is a positive integer. In [25] a trace formula for operator Taylor polynomials was obtained. This formula includes the Lifshits-Krein trace formula in the case m = 1 and the Koplienko trace formula in the case m = 2. We establish most general trace formulae in the case of perturbation of Schatten-von Neumann class Sm. We also improve the trace formula obtained in [25] for operator Taylor polynomials and prove it for arbitrary functions in the Besov space B∞1m(R). We consider several other special cases of our general trace formulae. In particular, we establish a trace formula for m-th order operator differences.
Язык оригинала | английский |
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Страницы (с-по) | 1-26 |
Число страниц | 26 |
Журнал | Journal of Spectral Theory |
Том | 1 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 2011 |
Опубликовано для внешнего пользования | Да |
ID: 87317612