Abstract
We establish various properties as well as diverse relations of the
ascent and descent spectra for bounded linear operators. We
specially focus on the theory of subspectrum. Furthermore, we
construct a new concept of convergence for such spectra.
Встановлюються різні властивості спектрів підйому та спуску для
обмежених лінійних операторів, а також певні співвідношення між
ними. Ми зосереджуємося на теорії підспектру. Крім того, ми
пропонуємо нове поняття збіжності для таких спектрів.
Key words: Spectrum, Ascent, Descent, Subspectrum, Convergence.
Full Text
Article Information
| Title | On the ascent-descent spectrum |
| Source | Methods Funct. Anal. Topology, Vol. 27 (2021), no. 3, 205-216 |
| DOI | 10.31392/MFAT-npu26_3.2021.02 |
| MathSciNet |
MR4344361 |
| Milestones | Received 26/09/2019; Revised 26/07/2021 |
| Copyright | The Author(s) 2021 (CC BY-SA) |
Authors Information
Nassim Athmouni
Department of Mathematics, Faculty of Sciences of Gafsa, University of Gafsa, 2112 Zarroug, Tunisia
Mondher Damak
Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, 3000 Sfax, Tunisia
Chiraz Jendoubi
Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, 3000 Sfax, Tunisia
Citation Example
Nassim Athmouni, Mondher Damak, and Chiraz Jendoubi, On the ascent-descent spectrum, Methods Funct. Anal. Topology 27
(2021), no. 3, 205-216.
BibTex
@article {MFAT1628,
AUTHOR = {Nassim Athmouni and Mondher Damak and Chiraz Jendoubi},
TITLE = {On the ascent-descent spectrum},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {27},
YEAR = {2021},
NUMBER = {3},
PAGES = {205-216},
ISSN = {1029-3531},
MRNUMBER = {MR4344361},
DOI = {10.31392/MFAT-npu26_3.2021.02},
URL = {http://mfat.imath.kiev.ua/article/?id=1628},
}
