Abstract
A bounded operator $T$ in a Banach space $X$ is said to satisfy the essential descent spectrum equality, if the descent spectrum of $T$ coincides with the essential descent spectrum of $T$.
In this note, we give some conditions under which the equality $\sigma_{desc}(T) = \sigma^e_{desc}(T)$ holds for $T$.
Key words: Descend, Essential Descent, SVEP, Spectrum.
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Article Information
| Title | Essential Descent Spectrum Equality |
| Source | Methods Funct. Anal. Topology, Vol. 30 (2024), no. 3-4, 101-104 |
| DOI | 10.31392/MFAT-npu26_3-4.2024.01 |
| Copyright | The Author(s) 2024 (CC BY-SA) |
Authors Information
Mbark Abkari
Faculty of Sciences Dhar Al Mahraz, Laboratory of Mathematical Sciences and Applications, Fez, Morocco
Hamid Boua
Multidisciplinary Faculty, Laboratory Ibn Al Banna, Nador, Morocco
Abdelaziz Tajmouati
Sidi Mohamed Ben Abdellah University, Fez, Morocco
Citation Example
Mbark Abkari, Hamid Boua, and Abdelaziz Tajmouati, Essential Descent Spectrum Equality, Methods Funct. Anal. Topology 30
(2024), no. 3, 101-104.
BibTex
@article {MFAT2087,
AUTHOR = {Mbark Abkari and Hamid Boua and Abdelaziz Tajmouati},
TITLE = {Essential Descent Spectrum Equality},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {30},
YEAR = {2024},
NUMBER = {3},
PAGES = {101-104},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_3-4.2024.01},
URL = {https://mfat.imath.kiev.ua/article/?id=2087},
}
