Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics - Couverture souple

Jorgensen, Palle E T

 
9780486466651: Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics

Synopsis

This survey of operators in Hilbert space offers extensive background material and covers domains of representation, operators in the enveloping algebra, spectral theory, covariant representation, and infinite-dimensional Lie algebras. 1988 edition.

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Présentation de l'éditeur

This three-part treatment begins with background material on definitions and terminology, operators in Hilbert space, and the imprivitity theorem, advancing to considerations of the algebras of operators in Hilbert space. The heart of the text examines domains of representations, operators in the enveloping algebra, and spectral theory. The final section explores covariant representation and connections, with a particular focus on infinite-dimensional Lie algebras.

Biographie de l'auteur

Palle E. T. Jorgensen is Professor of Mathematics at the University of Iowa.

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