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Unbounded Operator Algebras and Representation Theory (Operator Theory: Advances and Applications, 37) by Konrad Schmüdgen is a nonfiction available to read on EtoBox.
What is Unbounded Operator Algebras and Representation Theory (Operator Theory: Advances and Applications, 37) about?
*-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory. In representation theory they appear as the images of the associated representations of the Lie algebras or of the enveloping algebras on the Garding domain and in quantum field theory they occur as the vector space of field operators or the *-algebra generated by them. Some of the basic tools for the general theory were first introduced and used in these fields. For instance, the notion of the weak (bounded) commutant which plays a fundamental role in thegeneraltheory had already appeared in quantum field theory early in the six ties. Nevertheless, a systematic study of unbounded operator algebras began only at the beginning of the seventies. It was initiated by (in alphabetic order) BORCHERS, LASSNER, POWERS, UHLMANN and VASILIEV. J1'rom the very beginning, and still today, represen tation theory of Lie groups and Lie algebras and quantum field theory have been primary sources of motivation and also of examples. However, the general theory of un
Who reads Unbounded Operator Algebras and Representation Theory (Operator Theory: Advances and Applications, 37)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Konrad Schmüdgen
- Publisher
- Birkhäuser Basel
- Published
- 2014
- Language
- EN
- ISBN
- 9783034874694
- Category
- nonfiction
- Subjects
- Mathematics, Science, Stem
Other editions & translations
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