Abstract
Let $(T(t))_{t\geq 0}$ be an $\alpha$-times integrated semigroup
with generator $A$ on a Banach space $X$. In this paper, we show
that the spectral mapping theorem holds for upper semi-Fredholm
spectrum and we will give some consequences of this result. We also
give an application on the Schrödinger operator.
Key words: $\alpha$-times integrated semigroup, upper semi-Fredholm, Kato,
essentially Kato, SVEP
Full Text
Article Information
| Title | Upper semi-Fredholm and Kato spectrum of an $\alpha$-times integrated
semigroup |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 1, 63-67 |
| DOI | 10.31392/MFAT-npu26_1.2020.04 |
| MathSciNet |
MR4113581 |
| Milestones | Received 06/09/2019; Revised 12/10/201 |
| Copyright | The Author(s) 2020 (CC BY-SA) |
Authors Information
Hamid Boua
Mohammed First University, Pluridisciplinary Faculty of Nador, Nador, Morocc
Citation Example
Hamid Boua, Upper semi-Fredholm and Kato spectrum of an $\alpha$-times integrated
semigroup, Methods Funct. Anal. Topology 26
(2020), no. 1, 63-67.
BibTex
@article {MFAT1288,
AUTHOR = {Hamid Boua},
TITLE = {Upper semi-Fredholm and Kato spectrum of an $\alpha$-times integrated
semigroup},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {1},
PAGES = {63-67},
ISSN = {1029-3531},
MRNUMBER = {MR4113581},
DOI = {10.31392/MFAT-npu26_1.2020.04},
URL = {http://mfat.imath.kiev.ua/article/?id=1288},
}
