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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


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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
DOI10.31392/MFAT-npu26_1.2020.04
MathSciNet   MR4113581
Milestones  Received 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


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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},
}


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