Published November 1975
| Version v1
Journal article
Extremal decomposition of Wightman functions and of states on nuclear*-algebras by Choquet theory
Description
We give a short proof for the decomposability of states on nuclear *-algebras into extremal states by using the integral decompositions of Choquet and the nuclear spectral theorem, recovering a recent result by Borchers and Yngvason. The decomposition of Wightman fields into irreducible fields is a special case of this. We also indicate a quick solution of the moment problem on nuclear spaces. (orig.)
Abstract (German)
Wir beweisen die Zerlegbarkeit von Zustaenden auf nuklearen *-Algebras in Extremzustaenden mit den Integralzerlegungen von Choquet und dem nuklearen Spektraltheorem unter Einbeziehung eines von Borchers und Yngvason mitgeteilten Ergebnisses. Die Zerlegung von Wightmanfeldern in irreduzible Felder ist ein Sonderfall. Wir beschreiben ferner eine rasche Loesung des Momentenproblems im nuklearen Raum. (orig./AK)Additional details
Identifiers
- DOI
- 10.1007/bf01629243;
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 45
- Journal Issue
- 2
- Series
- Commun. Math. Phys.
- Journal Page Range
- 133-135
- ISSN
- 0010-3616
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 7249635
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; DECOMPOSITION; FIELD ALGEBRA; FUNCTIONS; QUANTUM OPERATORS; WIGHTMAN FIELD THEORY
- Descriptors DEC
- CHEMICAL REACTIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM FIELD THEORY
Optional Information
- Notes
- 14 refs.; Updated automatically by Metadata and Full-Text Enrichment Agent