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Unbounded Operator Algebras and Representation Theory

✍ Scribed by K. Schmüdgen

Publisher
BirkhΓ€user
Year
1990,2013
Tongue
English
Leaves
381
Edition
reprint
Category
Library
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πŸ“œ SIMILAR VOLUMES

Unbounded Operator Algebras and Represen
πŸ“ Unbounded Operator Algebras and Representation Theory
✍ Prof. Konrad SchmΓΌdgen (auth.) πŸ“‚ Library πŸ“… 1990 πŸ› BirkhΓ€user Basel 🌐 English

<p>*-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

Tomita-Takesaki Theory in Algebras of Un
πŸ“ Tomita-Takesaki Theory in Algebras of Unbounded Operators
✍ Atsushi Inoue (auth.) πŸ“‚ Library πŸ“… 1998 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are intr