Standard generalized vectors in the space of Hilbert-Schmidt operators

J.-P. Antoine; H. Ogi; A. Inoue; C. Trapani

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 63, Issue: 2, page 177-210
  • ISSN: 0246-0211

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Antoine, J.-P., et al. "Standard generalized vectors in the space of Hilbert-Schmidt operators." Annales de l'I.H.P. Physique théorique 63.2 (1995): 177-210. <http://eudml.org/doc/76692>.

@article{Antoine1995,
author = {Antoine, J.-P., Ogi, H., Inoue, A., Trapani, C.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Tomita-Takesaki theory of modular automorphisms; KMS quasi-weights; space of Hilbert-Schmidt operators; positive selfadjoint unbounded operator},
language = {eng},
number = {2},
pages = {177-210},
publisher = {Gauthier-Villars},
title = {Standard generalized vectors in the space of Hilbert-Schmidt operators},
url = {http://eudml.org/doc/76692},
volume = {63},
year = {1995},
}

TY - JOUR
AU - Antoine, J.-P.
AU - Ogi, H.
AU - Inoue, A.
AU - Trapani, C.
TI - Standard generalized vectors in the space of Hilbert-Schmidt operators
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 63
IS - 2
SP - 177
EP - 210
LA - eng
KW - Tomita-Takesaki theory of modular automorphisms; KMS quasi-weights; space of Hilbert-Schmidt operators; positive selfadjoint unbounded operator
UR - http://eudml.org/doc/76692
ER -

References

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  5. [5] A. Inoue, An unbounded generalization of the Tomita-Takesaki theory, I-II, , Publ. RIMS, Kyoto Univ., Vol. 22, 1986, pp. 725-765; Vol. 23, 1987, pp. 673-726. Zbl0624.47044MR871264
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  13. [13] G. Lassner, Algebras of unbounded operators and quantum dynamics, Physica, Vol. 124 A, 1984, pp. 471-480. Zbl0599.47072MR759198
  14. [14] A. Inoue and H. Ogi, Regular weights on algebras of unbounded operators, preprint, Fukuoka Univ., 1994. 
  15. [15] J.-P. Antoine, A. Inoue and C. Trapani, Partial *-algebras of closable operators. II. States and representations of partial *-algebras, Publ. RIMS, Kyoto Univ., Vol. 27, 1991, pp. 399-430. Zbl0749.47030MR1121245
  16. [16] F. Bagarello and C. Trapani, "Almost" mean-field Ising model: an algebraic approach, J. Stat. Phys., Vol. 65, 1991, pp. 469-482. Zbl0945.82503MR1137420
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