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DC Field | Value | Language |
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dc.contributor.advisor | AGTI, Mohamed | - |
dc.contributor.author | KHIAT, OUM KELTOUM | - |
dc.date.accessioned | 2022-06-23T11:05:48Z | - |
dc.date.available | 2022-06-23T11:05:48Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | https://dspace.univ-ouargla.dz/jspui/handle/123456789/29725 | - |
dc.description | Function Analysis | en_US |
dc.description.abstract | The main objective of thiswork is to present power bounded operator and semigroup aswell as describe a way to create many generalizations of Esterle’s result, and also give many conditions on an operator which imply that its norm is equal to its spectral radius.Then set (s/t) = (s/t − 1)(t/s) s/t s/t−1 = (s − t) tt/(s−t) ss/(s−t) if 0 < t < s. The key result shows that if (T (t))t>0 is a nontrivial strongly continuous quasinilpotent semigroup of bounded operators on a Banach space then there exists > 0 such that kT (t) − T (s) > (s/t)for 0 < t < s . . | en_US |
dc.description.abstract | L’objectif principal de ce travail est de présenter l’opérateur borné de puissance et le semigroup ainsi que de décrire un moyen de créer de nombreuses généralisations du résult d’Esterle,et également de donner de nombreuses conditions sur un opérateur qui impliquent que sa norme est égale à son rayon spectral.Réglez ensuite (s/t) = (s/t − 1)(t/s) s/t s/t−1 = (s − t) tt/(s−t) ss/(s−t) si 0 < t < s.Le résultat clé montre que semigroupe quasinilpotent fortement continu non trivial d’opérateurs bornés sur un espace de Banach alors il existe > 0telque kT (t) − T (s) > (s/t)pour 0 < t < s | - |
dc.language.iso | en | en_US |
dc.publisher | UNIVERSITÉ KASDI MERBAH OUARGLA | en_US |
dc.subject | semigroupe | en_US |
dc.subject | l’opérateur borné | en_US |
dc.subject | quasinilpotent | en_US |
dc.title | Power Bounded Operators and Semigroups | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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KHIAT-OUM KELTOUM.pdf | 615,46 kB | Adobe PDF | View/Open |
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