@article{AIHPA_1987__46_3_325_0, author = {Antoine, J.-P. and Mathot, F. and Trapani, C.}, title = {Partial $^\ast $-algebras of closed operators and their commutants. II. Commutants and bicommutants}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {47}, year = {1987}, pages = {325-351}, mrnumber = {892368}, zbl = {0629.46049}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1987__46_3_325_0} }
Antoine, J.-P.; Mathot, F.; Trapani, C. Partial $^\ast $-algebras of closed operators and their commutants. II. Commutants and bicommutants. Annales de l'I.H.P. Physique théorique, Tome 47 (1987) pp. 325-351. http://gdmltest.u-ga.fr/item/AIHPA_1987__46_3_325_0/
[1] Operator Algebras and Quantum Statistical Mechanics I, Springer Verlag, Berlin et al., 1979. | MR 611508 | Zbl 0421.46048
and ,[2] 42, 1975, p. 231. | MR 377550 | Zbl 0307.46053
and , Commun. Math. Phys., t.[3] 35, 1962, p. 147. | MR 141406 | Zbl 0158.45702
, Helv. Phys. Acta., t.[4] 2, 1970, p. 113.
, Theor. Math. Phys., t.[5] 70, 1977, p. 369. | MR 482269 | Zbl 0374.46045
and , Pacific J. Math., t.[6] 69, 1978, p. 97. | MR 473863 | Zbl 0377.46057
, Proc. Amer. Math. Soc., t.[7] 25, 1984, p. 2633. | MR 756559 | Zbl 0556.47026
and , J. Math. Phys., t.[8] 26, 1985, p. 1118. | MR 790044 | Zbl 0614.47034
, J. Math. Phys., t.[9] 46, 1987, p. 299 (preceeding paper). | Numdam | MR 892367 | Zbl 0629.46048
and , Ann. Inst. H. Poincaré, t.[10] 21, 1985, p. 205 ; Addendum, ibid., t. 22, 1986, p. 507. | Zbl 0609.47058
and , Publ. RIMS, Kyoto Univ., t.[11] Spontaneous Symmetry Breakdown and Related Subjects (Karpacz 1985), p. 247-267 ; L. Michel, J. Mozrzymas and A. Pekalski (eds), World Scientific, Singapore, 1985. | MR 835511
, in[12] 18, 1982, p. 1013. | MR 688942 | Zbl 0511.47029
and , Publ. RIMS, Kyoto Univ., t.[13] 23, 1976, p. 369, 379. | Zbl 0359.46020
and , J. Funct. Anal., t.[14] 25, 1984, p. 3204 ; On some classes of unbounded commutants of unbounded operator families, Preprint ICTP-Trieste IC/85/175. | MR 761840
, J. Math. Phys., t.[15] 59, 1984, p. 335 ; t. 60, 1984, p. 849. | Zbl 0559.47033
, and , Theor. Math. Phys., t.[16] Unbounded commutants and intertwining spaces of unbounded symmetric operators and*-representations, Preprint Karl-Marx-Universität, Leipzig, 1985. | MR 879700
,[17] 28, 1987, p. 1. | MR 870094 | Zbl 0624.47045
, and , J. Math. Phys., t.[18] Lectures on von Neumann Algebras, Editura Academiei, Bucuresti, and Abacus Press, Tunbridge Wells, 1979. | MR 526399 | Zbl 0391.46048
and ,[19] 21, 1971, p. 85 ; Trans. Amer. Math. Soc., t. 187, 1974, p. 261. | MR 283580 | Zbl 0214.14102
, Commun. Math. Phys., t.[20] 56, 1983, p. 1175. | MR 734580
, and , Helv. Phys. Acta, t.[21] Integral decomposition of partial *-algebras of closed operators, Publ. RIMS, Kyoto Univ., t. 22, 1986 in press. | MR 871263 | Zbl 0636.47037
,[22] 3, 1972, p. 279. | MR 322527 | Zbl 0252.46087
, Rep. Math. Phys., t.[23] 11, 1977, p. 81. | MR 482265 | Zbl 0357.46067
and , Rep. Math. Phys., t.[24] 24, 1962, p. 214 ; in Statistical Mechanics and Field Theory, p. 31-79 ; R. N. Sen and C. Weil (eds), J. Wiley, Chichester 1972. | MR 142320 | Zbl 0129.42205
, Nuovo Cim., t.[25] 34, 1973, p. 315. | MR 334750 | Zbl 0269.46031
, Commun. Math. Phys., t.[26] 31, 1982, p. 35.
, Wiss. Z. Karl-Marx-Univ. Leipzig, Math.-Naturwiss. R., t.[27] Linear Operators in Hilbert Spaces, Springer-Verlag, Berlin et al., 1980. | MR 566954 | Zbl 0434.47001
,[28] 69, 1977, p. 105. | MR 512384 | Zbl 0342.46057
, Pacific J. Math., t.[29] 71, 1980, p. 47. | MR 556900 | Zbl 0426.47025
, Commun. Math. Phys., t.