Unbounded Operator Algebras and Representation Theory

Häftad, Engelska, 2014

Av K. Schmüdgen, K. Schmudgen

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*-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.

Produktinformation

Utgivningsdatum2014-04-15
Mått170 x 244 x 21 mm
Vikt661 g
FormatHäftad
SpråkEngelska
SerieOperator Theory: Advances and Applications
Antal sidor368
FörlagSpringer Basel
ISBN9783034874717

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Algebra inom Naturvetenskap och teknik

1. Preliminaries.- I. O*-Algebras and Topologies.- 2. O-Families and Their Graph Topologies.- 3. Spaces of Linear Mappings Associated with O-Families and Their Topologization.- 4. Topologies for O-Famiiies with Metrizable Graph Topologies.- 5. Ultraweakly Continuous Linear Functionals and Duality Theory.- 6. The Generalized Calkin Algebra and the*-Algebra 𝓛+(𝓓).- 7. Commutants.- II:*-Representations.- 8. Basics of*-Representations.- 9. Self-Adjoint Representations of Commutative*-Algebras.- 10. Integrable Representations of Enveloping Algebras.- 11. n-Positivity and Complete Positivity of*-Representations.- 12. Integral Decompositions of*-Representations and States.- Symbol Index.