Quantized fields and operators on a partial inner product space
Annales de l'I.H.P. Physique théorique, Volume 48 (1988) no. 2, p. 97-104
@article{AIHPA_1988__48_2_97_0,
     author = {Shabani, J.},
     title = {Quantized fields and operators on a partial inner product space},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {48},
     number = {2},
     year = {1988},
     pages = {97-104},
     zbl = {0653.46073},
     mrnumber = {952657},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1988__48_2_97_0}
}
Shabani, J. Quantized fields and operators on a partial inner product space. Annales de l'I.H.P. Physique théorique, Volume 48 (1988) no. 2, pp. 97-104. http://www.numdam.org/item/AIHPA_1988__48_2_97_0/

[1] R.F. Streater and A.S. Wightman, PCT, Spin and Statistics and all that. Benjamin, New York, 1964. | MR 161603 | Zbl 0135.44305

A. Jost, The General Theory of Quantized Fields. AMS, Providence, Rhode Island, 1965. | Zbl 0127.19105

A.S. Wightman, Introduction to Some Aspects of the Relativistic Dynamics of Quantized Fields. Lecture Notes, Bures-sur-Yvette, 1964.

[2] R. Haag, Ann. Physik., t. 11, 1963, p. 29. | MR 155590

[3] R. Ascoli, G. Epifanio and A. Restivo, Commun. Math. Phys., t. 18, 1970, p. 291. Riv. Mat. University of Parma, t. 3, 1974, p. 21. | MR 272300 | Zbl 0197.53502

[4] J.-P. Antoine and A. Grossmann, J. Funct. Anal., t. 23, 1976, p. 369 and 379. | Zbl 0359.46020

[5] J.-P. Antoine and F. Mathot, Ann. Inst. H. Poincaré, t. 37, 1982, p. 29. | Numdam | MR 667881

[6] J.-P. Antoine, J. Math. Phys., t. 21, 1980, p. 268. | MR 558469 | Zbl 0477.46005

[7] J.-P. Antoine, J. Math. Phys., t. 21, 1980, p. 2067. | MR 579203 | Zbl 0477.46006

[8] K. Fredenhagen and J. Hertel, Comm. Math. Phys., t. 80, 1981, p. 555. | MR 628511 | Zbl 0472.46051

[9] A. Grossmann, Comm. Math. Phys., t. 4, 1967, p. 203. | MR 210413 | Zbl 0144.47804

[10] A. Grossmann, Comm. Math. Phys., t. 2, 1966, p. 1. | MR 196460 | Zbl 0134.31701

[11] E. Nelson, J. Funct. Anal., t. 12, 1973, p. 97 and 221. | Zbl 0252.60053

[12] J.-P. Antoine and W. Karwowski, J. Math. Phys., t. 22, 1981, p. 2489. | MR 640657 | Zbl 0494.46023

[13] G. Lassner, Physica, t. 124 A, 1984, p. 471. | MR 759198 | Zbl 0599.47072

[14] J. Shabani, On some class of topological quasi *-algebra. Preprint, University of Burundi, 1987. | MR 1117784

[15] G. Epifanio and C. Trapani, Ann. Inst. Henri Poincaré, t. 46, 1987, p. 175. | Numdam | MR 887146 | Zbl 0617.46073

[16] H.J. Borchers, in RCP 25 (Strasbourg), t. 22, 1975, p. 26 and also in Quantum Dynamics : Models and Mathematics Ed. L. Streit, Acta Phys. Austr., Suppl. 16, 1976, p. 15.

J.-P. Antoine and W. Karwowski, Publ. RIMS, Kyoto University, t. 21, 1985, p. 205. Addendum, ibid, t. 22, 1986, p. 507. | Zbl 0609.47058

[17] M. Friedrich and G. Lassner, Wiss. Z. Karl-Marx University, Leipzig. Math. Naturwiss, t. R 27, 1978, p. 245. | Zbl 0404.47021

K.-D. Kursten, On topological properties of domains of unbounded operator algebras, in Proceedings of the II International Conference on Operator Algebras, Ideals and their Applications in Theoretical Physics, Leipzig 1983, edited by H. Baumgartel, G. Lassner, A. Pietsch and A. Uhlmann (Teubner, Leipzig, 1984). | MR 763529 | Zbl 0544.47040

[18] G. Köthe, Topological Vector Spaces I. Springer-Verlag, Berlin, 1969. | MR 178335 | Zbl 0179.17001