Read An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces

An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces

Konrad Schmüdgen

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Description:This textbook provides and introduction to representations of general *-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations on important special classes of *-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded *-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensätze, induced representations, well-behaved representations and representations on rigged modules.Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its applications to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces. To get started finding An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 381

Format: PDF, EPUB & Kindle Edition

Publisher: Springer

Release: 2020

ISBN: 3030463656

Description: This textbook provides and introduction to representations of general *-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations on important special classes of *-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded *-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensätze, induced representations, well-behaved representations and representations on rigged modules.Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its applications to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces. To get started finding An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces

An Invitation to Unbounded Representations of *-Algebras on Hilbert Spaces

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