@article{AIHPA_1988__48_4_333_0,
author = {\^Ota, Sch\^oichi},
title = {Unbounded representations of a $\ast $-algebra on indefinite metric space},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {333--353},
year = {1988},
publisher = {Gauthier-Villars},
volume = {48},
number = {4},
mrnumber = {969171},
zbl = {0673.46034},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1988__48_4_333_0/}
}
TY - JOUR AU - Ôta, Schôichi TI - Unbounded representations of a $\ast $-algebra on indefinite metric space JO - Annales de l'I.H.P. Physique théorique PY - 1988 SP - 333 EP - 353 VL - 48 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1988__48_4_333_0/ LA - en ID - AIHPA_1988__48_4_333_0 ER -
Ôta, Schôichi. Unbounded representations of a $\ast $-algebra on indefinite metric space. Annales de l'I.H.P. Physique théorique, Tome 48 (1988) no. 4, pp. 333-353. https://www.numdam.org/item/AIHPA_1988__48_4_333_0/
[1] , Linear operators on Krein spaces. Lectures Note in Hokkaido Univ., 1979. | Zbl | MR
[2] , Indefinite inner product spaces. Berlin, Springer Verlag, 1974. | Zbl | MR
[3] , Algebraic aspects of Wighttman field theory in Statistical Mechanics and Field Theory Lectures, 1971, New York, Jerusalem, London, 1972. | Zbl
[4] and , Commun. Math. Phys., t. 42, 1975, p. 231-252. | Zbl | MR
[5] and , Theor. Math. Phys., t. 54, 1983, p. 35-48. | Zbl
[6] and , Operator algebras and quantum statistical mechanics, Berlin, Springer Verlag, 1979. | Zbl | MR
[7] and , Pacific J. Math., t. 70, 1977, p. 369-382. | Zbl | MR
[8] , Ann. Math., t. 118, 1983, p. 215-224. | Zbl | MR
[9] and , Trans. Amer. Math., t. 280, 1983, p. 393-400. | Zbl | MR
[10] , and , Introduction to the spectral theory of operators in spaces with indefinite metric, Berlin, Akademie Verlag, 1982. | Zbl | MR
[11] , Rep. Math. Phys., t. 2, 1971, p. 263-276. | Zbl
[12] , J. Math. Phys., t. 25, 1984, p. 617-622. | MR
[13] , Ann. Phys., t. 161, 1985, p. 314-336. | Zbl | MR
[14] , Rep. Math. Phys., t. 3, 1972, p. 270-293. | Zbl
[15] , Linear representations of the Lorentz groups, London, Pergamon, 1964.
[16] , Acta Sci. Math. (Szeged), t. 39, 1977, p. 129-133. | Zbl | MR
[17] , J. Funct. Anal., t. 30, 1978, p. 238-244. | Zbl | MR
[18] , J. Reine Angew. Math., t. 347, 1984, p. 21-32. | Zbl | MR
[19] , The extension of dual subspaces invariant under algebra. Proc. Inter. Symp. On Linear Spaces. Jerusalem, 1960, p. 366-398. | Zbl | MR
[20] , Commun. Math. Phys., t. 21, 1971, p. 85-124. | Zbl | MR
[21] , Trans. Amer. Math. Soc., t. 187, 1974, p. 261-293. | Zbl | MR
[22] , C*-algebras and W*-algebras, Berlin, Springer Verlag, 1971. | Zbl | MR
[23] , Publ. R. I. M. S. (Kyoto), t. 19, 1983, p. 601-671. | Zbl | MR
[24] , Theor. Math. Phys., t. 2, 1970, p. 113-123.
[25] , J. Math. Phys., t. 26, 1985, p. 2956-2973. | Zbl | MR
[26] , J. Math. Phys., t. 27, 1986, p. 1113-1127. | Zbl | MR
[27] , Harmonic analysis on semi-simple Lie groups I, Berlin, Springer Verlag, 1972. | Zbl | MR





