Natural Lacunae Method and Schatten–Von Neumann Classes of the Convergence Exponent

Our first aim is to clarify the results obtained by Lidskii devoted decomposition on root vector system of non-selfadjoint operator. We use a technique entire function theory and introduce so-called Schatten–von Neumann class convergence exponent. Considering strictly accretive operators satisfying special conditions formulated in terms norm, we construct sequence contours power type that contrasts Lidskii, where exponential was used.