Algebraic quantum field theory and noncommutative moment problems. II
Yngvason, J.
Annales de l'I.H.P. Physique théorique, Tome 49 (1988), p. 161-173 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1988-01-01
@article{AIHPA_1988__48_2_161_0,
     author = {Yngvason, Jakob},
     title = {Algebraic quantum field theory and noncommutative moment problems. II},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {49},
     year = {1988},
     pages = {161-173},
     mrnumber = {952660},
     zbl = {0653.46072},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1988__48_2_161_0}
}

Yngvason, J. Algebraic quantum field theory and noncommutative moment problems. II. Annales de l'I.H.P. Physique théorique, Tome 49 (1988) pp. 161-173. http://gdmltest.u-ga.fr/item/AIHPA_1988__48_2_161_0/

[1] J. Alcántara and J. Yngvason, Algebraic quantum field theory and noncommutative moment problems I. Ann l'Inst. H. Poincaré, t. 48, 1988, p. 147. | Numdam | MR 952659 | Zbl 0653.46071

[2] J. Yngvason, On the locality ideal in the algebra of test functions for quantum fields. Publ. RIMS Kyoto, t. 20, 1984, p. 1063. | MR 764348 | Zbl 0598.46047

[3] J. Yngvason, Invariant states on Borchers' tensor algebra. Ann. L'Inst. H. Poincaré, t. 45, 1986, p. 117. | Numdam | MR 866912 | Zbl 0639.46067

[4] H.J. Borchers and J. Yngvason, Necessary and sufficient conditions for integral representations of Wightman functionals at Schwinger points. Commun. Math. Phys., t. 47, 1976, p. 197. | MR 479134 | Zbl 0319.46060

[5] J. Diximier, Les C*-algèbres et leurs représentations. Paris, Gauthier-Villars, 1969. | MR 246136 | Zbl 0174.18601

[6] J. Yngvason, On the algebra of test functions for quantum fields. Commun. Math. Phys., t. 34, 1973, p. 315. | MR 334750 | Zbl 0269.46031

[7] M. Dubois-Violette, A generalization of the classical moment problem on *-algebras with applications to relativistic quantum theory. I. Commun. Math. Phys., t. 43, 1975, p. 225. | MR 383100 | Zbl 0362.46044

[8] M. Takesaki, Theory of Operator Algebras. I. New York, Heidelberg, Berlin, Springer, 1979. | MR 548728 | Zbl 0436.46043

[9] R.T. Powers, Selfadjoint algebras of unbounded operators. II. Trans. Am. Math. Soc., t. 187, 1974, p. 261. | MR 333743 | Zbl 0296.46059

[10] H.J. Borchers, Algebraic aspects of Wightman field theory. In: Statistical Mechanics and Field theory, ed. by R. N. Sen and C. Weil. New York, Halsted Press, 1972. | Zbl 0264.46061

[11] G.C. Hegerfeldt, Noncommutative analogs of probabilistic notions and results. J. Func. Anal., t. 64, 1985, p. 436. | MR 813209 | Zbl 0582.46062

[12] G.C. Hegerfeldt, Prime field decompositions and infinitely divisible fields on Borchers tensor algebra. Commun. Math. Phys., t. 45, 1975, p. 137. | MR 432082 | Zbl 0315.46065

[13] H.J. Borchers, On the algebra of test functions. Prépubl. RCP n° 25, vol. 15, Strasbourg, 1973.

[14] G. Lassner, On the structure of the test function algebra. JINR preprint E 2-5254, Dubna, 1970.

[15] A.L. Peressini, Ordered Topological Vector Spaces. New York, Harper and Row, 1967. | MR 227731 | Zbl 0169.14801