Topological properties of the commutant of a field algebra representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 19-22
It is proved that the strict commutant of a closed representation of a topological $^*$-algebra is a $W^*$-algebra.
@article{TMF_1972_11_1_a2,
author = {N. V. Borisov},
title = {Topological properties of the commutant of a field algebra representation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {19--22},
year = {1972},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a2/}
}
N. V. Borisov. Topological properties of the commutant of a field algebra representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 19-22. http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a2/
[1] H. J. Borchers, Nuovo Cim., 24 (1962), 214 | DOI | MR | Zbl
[2] A. N. Vasilev, TMF, 2 (1970), 153 | MR
[3] D. Ruelle, Helv. Phys. Acta, 35 (1962), 1 | MR
[4] A. N. Vasilev, TMF, 5 (1970), 161 | Zbl
[5] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, 1959 | MR