Natural lacunae method and Schatten-von Neumann classes of the convergence exponent
Functional Analysis
2022-04-08 v5
Abstract
The first our aim is to clarify the results obtained by Lidskii 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 convergence exponent. Considering strictly accretive operators satisfying special conditions formulated in terms of the norm, we construct a sequence of contours of the power type on the contrary to the results by Lidskii, where a sequence of contours of the exponential type was used.
Keywords
Cite
@article{arxiv.2112.10396,
title = {Natural lacunae method and Schatten-von Neumann classes of the convergence exponent},
author = {Maksim V. Kukushkin},
journal= {arXiv preprint arXiv:2112.10396},
year = {2022}
}