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DC Field | Value | Language |
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dc.contributor.author | Bekbaev, Dilmurod | en_US |
dc.date.accessioned | 2020-08-20T12:26:55Z | - |
dc.date.available | 2020-08-20T12:26:55Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://studentrepo.iium.edu.my/jspui/handle/123456789/6042 | - |
dc.description.abstract | In this thesis, we study C^*-algebras over Arens algebras. Moreover, we consider C^*-algebra of sections and will prove that C^*-algebra over L^? is isometrically *-isomorph to C^*-algebra L^? (?,X). Furthermore, we investigate the state space of C^*-algebras over L^?. We also study dominated operators acting on Banach-Kantorovich L_p-lattices. Further, using the methods of measurable bundles of Banach-Kantorovich lattices, we prove the strong zero-two law for the positive contractions of the Banach-Kantorovich lattices L_p (?,m). After that, we illustrate an application of the methods used in previous study to prove a result related to dominated operators. Thereafter, we collect some necessary well-known facts about non-commutative L_1-spaces. Then we prove an auxiliary result about dominant operators. Next, we prove a generalized uniform "zero-two" law for multi-parametric family of positive contractions of the non-commutative L_1-spaces. Furthermore, we recall necessary definitions about L_1 (M,?) – the non-commutative L_1-spaces associated with center valued traces and we show auxiliary result about the existence of the non-commutative vector-valued lifting. Finally, we prove that every positive contraction of L_1 (M,?) can be represented as a measurable bundle of positive contractions of non-commutative L_1-spaces, and this allows us to establish a vector- valued analogue of the uniform "zero-two" law for positive contractions of L_1 (M,?). | en_US |
dc.language.iso | en | en_US |
dc.publisher | Kuantan, Pahang : International Islamic University Malaysia, 2017 | en_US |
dc.rights | Copyright International Islamic University Malaysia | |
dc.subject.lcsh | C*-algebras | en_US |
dc.subject.lcsh | Banach algebras | en_US |
dc.title | Banach-Kantorovich C*-algebras and zero-two laws for positive contractions | en_US |
dc.type | Doctoral Thesis | en_US |
dc.identifier.url | https://lib.iium.edu.my/mom/services/mom/document/getFile/BoTmGDQjZE8pvgM5SE9plS7KooyeOlzl20170720112352927 | - |
dc.description.identity | t11100362011DilmurodBekbaev | en_US |
dc.description.identifier | Thesis : Banach-Kantorovich C*-Algebras and Zero-Two laws for positive contractions /by Dilmurod Bekbaev | en_US |
dc.description.kulliyah | Kulliyyah of Science | en_US |
dc.description.programme | Doctor of Philosophy in Computational and Theoretical Sciences | en_US |
dc.description.degreelevel | Master | |
dc.description.callnumber | t QA 326 B424B 2017 | en_US |
dc.description.notes | Thesis (Ph.D)--International Islamic University Malaysia, 2017. | en_US |
dc.description.physicaldescription | x, 80 leaves :illustrations ;30cm. | en_US |
item.openairetype | Doctoral Thesis | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | KOS Thesis |
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File | Description | Size | Format | |
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t11100362011DilmurodBekbaev_SEC_24.pdf | 24 pages file | 1.2 MB | Adobe PDF | View/Open |
t11100362011DilmurodBekbaev_SEC.pdf Restricted Access | Full text secured file | 3.18 MB | Adobe PDF | View/Open Request a copy |
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