Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2031
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dc.contributor.authorDubey, Sukrit-
dc.date.accessioned2022-12-22T20:21:50Z-
dc.date.available2022-12-22T20:21:50Z-
dc.date.issued2022-04-
dc.identifier.urihttp://hdl.handle.net/123456789/2031-
dc.description.abstractC ∗ -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.isoen_USen_US
dc.publisherIISER Mohalien_US
dc.subjectC*-algebrasen_US
dc.titleA Study of C*-algebras sukrit dubeyen_US
dc.typeThesisen_US
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