Natural lacunae method and Schatten-von Neumann classes of the convergence exponent

Maksim V. Kukushkin

Published 2021-12-20, updated 2022-02-13Version 2

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