Unbounded Operator Algebras and Representation Theory

Name: Unbounded Operator Algebras and Representation Theory
Brand: Birkhauser Verlag AG
SKU: 9783034874717
Price: 496.64 RON
Availability: InStock

Autor: K. Schmüdgen

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Legare: Carte broșată

Editura: Birkhauser Verlag AG

Disponibilitate: În depozitul extern

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496.64 lei

-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded...

Informații despre carte

Autor

K. Schmüdgen

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2014

Pagini

368

EAN

9783034874717

ISBN

3034874715

Enbook ID

02648422

Editura

Birkhauser Verlag AG

Greutate

663

Dimensiuni

170 x 244 x 21

Descriere completă

-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 unbounded operator algebras has also had points of contact with several other disciplines. In particu lar, the theory of locally convex spaces, the theory of von Neumann algebras, distri bution theory, single operator theory, the momcnt problem and its non-commutative generalizations and noncommutative probability theory, all have interacted with our subject.

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Unbounded Operator Algebras and Representation Theory

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