Spectral inclusions between $(\alpha+1)$-times integrated semigroups and its generators

Tajmouati, Abdelaziz; Bakkali, Abdeslam El; Ahmed, Mohamed Baba Mohamed

doi:10.5269/bspm.v38i5.40392

Cited by 4 publications

(2 citation statements)

References 3 publications

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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. Also in [11], we have investigated essential ascent and descent, upper and lower semi-Fredholm and semi-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

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“…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. In this paper, we continue to study α-times integrated semigroups for all α ≥ 0.…”

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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