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http://hdl.handle.net/123456789/4239
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DC Field | Value | Language |
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dc.contributor.author | Dueby, Sukrit | - |
dc.date.accessioned | 2022-10-17T09:47:07Z | - |
dc.date.available | 2022-10-17T09:47:07Z | - |
dc.date.issued | 2022-04 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4239 | - |
dc.description.abstract | C ∗ -algebras are modelled upon the operator algebra of bounded operators on a Hilbert space, B(H). In this study we try to understand several properties of such objects which will help us explain the generalisation of certain phenomenon from linear algebra to anal- ysis of infinite dimensional linear spaces.We understand the idea of constructing holomor- phic and later continuous functional calculus. We then arrive at characterising commuta- tive unital C ∗ -algebra as will be seen that such structures are isometrically isomorphic to C(X), the space of all complex valued continuous functions on a compact metric space. With some more associated constructions we will be able to understand the decomposi- tion of Normal operators on Hilbert spaces. Finally, the study of representations of C ∗ algebras generated by compact operators on Hilbert spaces will yield a structure theorem for finite dimensional algebras which serve as a prototype for new C ∗ -algebras built by finite dimensional ones. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | IISER Mohali | en_US |
dc.subject | C*-algebras | en_US |
dc.subject | Study | en_US |
dc.title | A Study of C*-algebras | en_US |
dc.type | Thesis | en_US |
dc.guide | Sahu, Lingaraj | en_US |
Appears in Collections: | MS-17 |
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File | Description | Size | Format | |
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Yet to obtain consent.pdf | 144.56 kB | Adobe PDF | View/Open |
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