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

Maksim V. Kukushkin
Additional contact information
Maksim V. Kukushkin: Moscow State University of Civil Engineering, 129337 Moscow, Russia

Mathematics, 2022, vol. 10, issue 13, 1-27

Abstract: Our first 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 that contrasts the results by Lidskii, where a sequence of contours of the exponential type was used.

Keywords: strictly accretive operator; Abel–Lidskii basis property; Schatten–von Neumann class; convergence exponent; counting function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/13/2237/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/13/2237/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:13:p:2237-:d:848199

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().