@article{AIHPA_1998__69_2_241_0,
author = {Antoine, J.-P. and Bagarello, F. and Trapani, C.},
title = {Extension of representations in quasi $^\ast $-algebras},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {241--264},
year = {1998},
publisher = {Gauthier-Villars},
volume = {69},
number = {2},
mrnumber = {1638895},
zbl = {0922.46048},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1998__69_2_241_0/}
}
TY - JOUR AU - Antoine, J.-P. AU - Bagarello, F. AU - Trapani, C. TI - Extension of representations in quasi $^\ast $-algebras JO - Annales de l'I.H.P. Physique théorique PY - 1998 SP - 241 EP - 264 VL - 69 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1998__69_2_241_0/ LA - en ID - AIHPA_1998__69_2_241_0 ER -
%0 Journal Article %A Antoine, J.-P. %A Bagarello, F. %A Trapani, C. %T Extension of representations in quasi $^\ast $-algebras %J Annales de l'I.H.P. Physique théorique %D 1998 %P 241-264 %V 69 %N 2 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1998__69_2_241_0/ %G en %F AIHPA_1998__69_2_241_0
Antoine, J.-P.; Bagarello, F.; Trapani, C. Extension of representations in quasi $^\ast $-algebras. Annales de l'I.H.P. Physique théorique, Tome 69 (1998) no. 2, pp. 241-264. https://www.numdam.org/item/AIHPA_1998__69_2_241_0/
[1] and , Quantum Physics, A Functional Integral Point of View, Springer-Verlag, Berlin et al., 1981. | Zbl | MR
[2] and , Operator Algebras and Quantum Statistical Mechanics I, II, Springer-Verlag, Berlin et al., 1979. | MR
[3] and , On the mathematical structure of the B.C.S. model, Commun. Math. Phys., Vol. 4, 1967, pp. 303-314. | Zbl | MR
[4] , Topological algebras and their applications in Quantum Statistics, Wiss. Z. KMU-Leipzig, Math.-Naturwiss. R., Vol. 30, 1981, pp. 572-595. | Zbl | MR
[5] , Algebras of unbounded operators and quantum dynamics, Physica, Vol. 124 A, 1984, pp. 471-480. | Zbl | MR
[6] , and , Canonical commutation relations on the interval, J. Math. Phys., Vol. 28, 1987, pp. 174-177. | Zbl | MR
[7] and , 'Almost' mean field Ising model: An algebraic approach, J. Stat. Phys., Vol. 65, 1991, pp. 469-482. | Zbl | MR
[8] and , A note on the algebraic approach to the almost mean field Heisenberg model, Nuovo Cim., Vol. 108B, 1992, pp. 849-866. | MR
[9] , Unbounded Operator Algebras and Representation Theory, Akademie-Verlag, Berlin 1990. | Zbl | MR
[10] , and , Partial *-algebras of closable operators. I. The basic theory and the abelian case.II. States and representations of partial *-algebras, Publ. RIMS, Kyoto Univ., Vol. 26, 1990, pp. 359-395; Vol. 27, 1991, pp. 399-430. | Zbl | MR
[11] , and , Partial *-algebras of closable operators: A review, Reviews Math. Phys., Vol. 8, 1996, pp. 1-42. | Zbl | MR
[12] , Quasi*-algebras of operators and their applications, Reviews Math. Phys., Vol. 7, 1995, pp. 1303-1332. | Zbl | MR
[13] and , On the algebra of field operators. The weak commutant and integral decompositions of states, Commun. Math. Phys., Vol. 42, 1975, pp. 231-252. | Zbl | MR
[14] and , Generalized Functions, Vol. IV, Academic Press, New York, 1964.
[15] , States and derivations on quasi*-algebras, J. Math. Phys., Vol. 29, 1988, pp. 1885-1890. | Zbl | MR
[16] , Self-adjoint algebras of unbounded operators, Commun. Math. Phys., Vol. 21, 1971, pp. 85-124. | Zbl | MR
[17] , Perturbation Theory for Linear Operators, Springer-Verlag, Berlin et al., 1966. | Zbl | MR
[18] , and , Weights on partial *-algebras, J. Math. Anal. Appl., Vol. 192, 1995, pp. 920-941. | Zbl | MR
[19] and , Quasi*-algebras and multiplication of distributions, J. Math. Anal. Appl., Vol. 215, 1997, pp. 423-442. | Zbl | MR
[20] and , Lp-spaces as quasi*-algebras, J. Math. Anal. Appl., Vol. 197, 1996, pp. 810-824. | Zbl | MR
