Open Access

Upper semi-Fredholm and Kato spectrum of an $\alpha$-times integrated semigroup


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

TitleUpper semi-Fredholm and Kato spectrum of an $\alpha$-times integrated semigroup
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 1, 63-67
MilestonesReceived 06/09/2019; Revised 12/10/201
CopyrightThe Author(s) 2020 (CC BY-SA)

Authors Information

Hamid Boua
Mohammed First University, Pluridisciplinary Faculty of Nador, Nador, Morocc


Google Scholar Metrics

Citing articles in Google Scholar
Similar articles in Google Scholar

Export article

Save to Mendeley



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},
       URL = {http://mfat.imath.kiev.ua/article/?id=1288},
}


References

Coming Soon.

All Issues