Spectral Theory for Integrated Semigroups

Tajmouati, Abdelaziz; Boua, Hamid

doi:10.12732/ijpam.v109i4.8

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2018

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Cited by 2 publications

(2 citation statements)

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“…In [12], the authors have studied the different spectrums of the 1-times integrated semigroups. In our paper [10], we have studied descent, ascent, Drazin, Fredholm and Browder spectrums of an α-times integrated semigroup.…”

Section: S(t)mentioning

confidence: 99%

Quasi-fredholm and saphar spectrums for the α-times integrated semigroups

Tajmouati,

Bakkali,

Baba

et al. 2018

Preprint

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We continue to study α-times integrated semigroups. Essentially, we characterize the different spectrums of α-times integrated semigroups by the spectrums of their generators. Particulary quasi-Fredholm, Kato, essentially Kato, Saphar and essentially Saphar spectrums.2010 Mathematics Subject Classification. 47D62, 47A10. Key words and phrases. α-times integrated semigroup, quasi-Fredholm, Kato, Saphar, essentially Kato and Saphar.

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Section: S(t)mentioning

confidence: 99%

Quasi-fredholm and saphar spectrums for the α-times integrated semigroups

Tajmouati,

Bakkali,

Baba

et al. 2018

Preprint

View full text Add to dashboard Cite

show abstract

“…for all x ∈ X and all t, s ≥ 0. In [11], the authors have studied the different spectrums of the 1-times integrated semigroups. In our paper [10], we have studied descent, ascent, Drazin, Fredholm and Browder spectrums of the α-times integrated semigroups.…”

Section: S(t)mentioning

confidence: 99%

Semi-Fredholm and semi-Browder spectrums for the $α$-times integrated semigroups

Tajmouati,

Bakkali,

Ahmed

et al. 2018

Preprint

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In this paper, we describe the different spectrums of the α-times integrated semigroups by the spectrums of their generators. Specially, essential ascent and descent, upper and lower semi-Fredholm and semi-Browder spectrums.2010 Mathematics Subject Classification. 47D62, 47A10. Key words and phrases. α-times integrated semigroup, essential descent and ascent, upper and lower semi-Browder and semi-Fredholm.

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Spectral Theory for Integrated Semigroups

Abstract: In this paper, we investigate the transfer of some spectral properties from the integrated semigroup to its generator.

Cited by 2 publications

References 3 publications

Quasi-fredholm and saphar spectrums for the α-times integrated semigroups

Quasi-fredholm and saphar spectrums for the α-times integrated semigroups

Semi-Fredholm and semi-Browder spectrums for the $α$-times integrated semigroups

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