Open Access

Spectral singularities of differential operator with triangular matrix coefficients

Abstract

For a non-selfadjoint Sturm-Liouville operator with a triangular matrix potential growing at infinity, we construct an example of such an operator having spectral singularities.

Key words: Spectrum, triangular matrix coefficients, spectral singularities.

Article Information

 Title Spectral singularities of differential operator with triangular matrix coefficients Source Methods Funct. Anal. Topology, Vol. 19 (2013), no. 3, 260-267 MathSciNet MR3136730 zbMATH 1289.47092 Milestones Received 17/03/2013; Revised 09/06/2013 Copyright The Author(s) 2013 (CC BY-SA)

Authors Information

A. M. Kholkin
Pryazovkyi State Technical University, 7 Universitets'ka, Mariupol, 87500, Ukraine

Citation Example

A. M. Kholkin, Spectral singularities of differential operator with triangular matrix coefficients, Methods Funct. Anal. Topology 19 (2013), no. 3, 260-267.

BibTex

@article {MFAT684,
AUTHOR = {Kholkin, A. M.},
TITLE = {Spectral singularities of differential operator with triangular matrix coefficients},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {19},
YEAR = {2013},
NUMBER = {3},
PAGES = {260-267},
ISSN = {1029-3531},
MRNUMBER = {MR3136730},
ZBLNUMBER = {1289.47092},
URL = {http://mfat.imath.kiev.ua/article/?id=684},
}