Partial *-algebras of closed operators and their commutants. I. General structure
Annales de l'I.H.P. Physique théorique (1987)
- Volume: 46, Issue: 3, page 299-324
- ISSN: 0246-0211
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topAntoine, J.-P., and Mathot, F.. "Partial *-algebras of closed operators and their commutants. I. General structure." Annales de l'I.H.P. Physique théorique 46.3 (1987): 299-324. <http://eudml.org/doc/76361>.
@article{Antoine1987,
author = {Antoine, J.-P., Mathot, F.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {algebras of unbounded operators; partial algebras; partial *-algebra; closable operators on a fixed dense domain of a Hilbert space; strong and weak partial -algebras; commutants; bicommutants; partial -algebras; partial -algebras; extensions},
language = {eng},
number = {3},
pages = {299-324},
publisher = {Gauthier-Villars},
title = {Partial *-algebras of closed operators and their commutants. I. General structure},
url = {http://eudml.org/doc/76361},
volume = {46},
year = {1987},
}
TY - JOUR
AU - Antoine, J.-P.
AU - Mathot, F.
TI - Partial *-algebras of closed operators and their commutants. I. General structure
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 46
IS - 3
SP - 299
EP - 324
LA - eng
KW - algebras of unbounded operators; partial algebras; partial *-algebra; closable operators on a fixed dense domain of a Hilbert space; strong and weak partial -algebras; commutants; bicommutants; partial -algebras; partial -algebras; extensions
UR - http://eudml.org/doc/76361
ER -
References
top- [1] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, Springer Verlag, Berlin et al., 1979. Zbl0421.46048MR611508
- [2] See, for instance, G.G. Emch and H.J.F. Knops, J. Math. Phys., t. 11, 1970, p. 3008, or H. Narnhofer, Acta Phys. Austr., t. 49, 1978, p. 207.
- [3] H.J. Borchers, Nuovo Cimento, t. 24, 1962, p. 214. Zbl0129.42205MR142320
- [4] G. Lassner and A. Uhlmann, Commun. Math. Phys., t. 7, 1968, p. 152. Zbl0152.46305MR228239
- [5] A.N. Vasil'ev, Theor. Math. Phys., t. 2, 1970, p. 113.
- [6] R. Ascoli, G. Epifanio and A. Restivo, Commun. Math. Phys., t. 18, 1970, p. 291 ; Rivista Mat. Univ. Parma, t. 3, 1974, p. 21. Zbl0197.53502MR272300
- [7] R.T. Powers, Commun. Math. Phys., t. 21, 1971, p. 85 ; Trans. Amer. Math. Soc., t. 187, 1974, p. 261. Zbl0214.14102MR283580
- [8] G. Lassner, Rep. Math. Phys., t. 3, 1972, p. 279 ; Wiss. Z. Karl-Marx-Univ. Leipzig, Math.-Naturwiss. R., t. 24, 1975, p. 465 ; ibid., t. 30, 1981, p. 572. Zbl0252.46087MR322527
- [9] A. Inoue, Pacific J. of Math., t. 65, 1976, p. 77 and subsequent papers. Zbl0331.46063MR512382
- [10] J.-P. Antoine, G. Epifanio and C. Trapani, Helv. Phys. Acta, t. 56, 1983, p. 1175. MR734580
- [11] G. Epifanio and C. Trapani, J. Math. Phys., t. 25, 1984, p. 2633. Zbl0556.47026MR756559
- [12] S.S. Horuzhy and A.V. Voronin, Commun. Math. Phys., t. 102, 1986, p. 687. Zbl0597.47028MR824097
- [13] J.-P. Antoine and W. Karwowski in Quantum Theory of Particles and Fields, p. 13- 30; J. Lukierski and B. Jancewicz (eds), World Scientific, Singapore, 1983. MR772774
- [14] J.-P. Antoine and W. Karwowski, Publ. RIMS, Kyoto Univ., t. 21, 1985, p. 205 ; Addendum, ibid., t. 22, 1986, p. 507. Zbl0609.47058
- [15] J.-P. Antoine, in Spontaneous Symmetry Breakdown and Related Subjects (Kar- pacz 1985), p. 247-267; L. Michel, J. Mozrzymas and A. Pekalski (eds), World Scientific, Singapore, 1985. MR835511
- [16] F. Mathot, J. Math. Phys., t. 26, 1985, p. 1118. Zbl0614.47034MR790044
- [17] K.-D. Kürsten, Publ. RIMS, Kyoto Univ., t. 22, 1986, p. 151. Zbl0607.47043
- [18] H.J. Borchers, in RCP 25 (Strasbourg), t. 22, 1975, p. 26, and also in Quantum Dynamics : Models and Mathematics, L. Streit (ed.), Acta Phys. Austr. Suppl., t. 16, 1976, p. 15.
- [19] G. Lassner, Physica A, t. 124, 1984, p. 471. Zbl0599.47072MR759198
- [20] S. Stratila and L. Zsido, Lectures on von Neumann Algebras, Editura Academiei, Bucuresti, and Abacus Press, Tunbridge Wells, 1979. Zbl0391.46048MR526399
- [21] J.-P. Antoine and A. Grossmann, J. Funct. Anal., t. 23, 1976, p. 379 ; J.-P. Antoine, J. Math. Phys., t. 21, 1980, p. 2067. Zbl0359.46021MR438072
- [22] G.R. Allan, Proc. London Math. Soc., (3), t. 17, 1967, p. 91 ; P.G. Dixon, ibid., t. 21, 1970, p. 693 ; t. 23, 1971, p. 53. Zbl0147.33503
- [23] C. Trapani, private communication.
- [24] A. Inoue, K. Kuriyama and S. Ôta, Mem. Fac. Sc. Kyushu Univ., t. 33, 1979, p. 355. Zbl0419.47019
- [25] J.-P. Jurzak, J. Funct. Anal., t. 21, 1976, p. 469 ; D. Arnal and J.-P. Jurzak, ibid., t. 24, 1977, p. 397. Zbl0337.46042
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