Unbounded representations of a *-algebra on indefinite metric space

Schôichi Ôta

Annales de l'I.H.P. Physique théorique (1988)

  • Volume: 48, Issue: 4, page 333-353
  • ISSN: 0246-0211

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Ôta, Schôichi. "Unbounded representations of a *-algebra on indefinite metric space." Annales de l'I.H.P. Physique théorique 48.4 (1988): 333-353. <http://eudml.org/doc/76405>.

@article{Ôta1988,
author = {Ôta, Schôichi},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {unbounded representations of a *-algebra on an indefinite inner; product space; unbounded J-representations; similarity between a non *- representation and a *-representation; unbounded representations of a *- algebra on an indefinite inner product space},
language = {eng},
number = {4},
pages = {333-353},
publisher = {Gauthier-Villars},
title = {Unbounded representations of a *-algebra on indefinite metric space},
url = {http://eudml.org/doc/76405},
volume = {48},
year = {1988},
}

TY - JOUR
AU - Ôta, Schôichi
TI - Unbounded representations of a *-algebra on indefinite metric space
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 48
IS - 4
SP - 333
EP - 353
LA - eng
KW - unbounded representations of a *-algebra on an indefinite inner; product space; unbounded J-representations; similarity between a non *- representation and a *-representation; unbounded representations of a *- algebra on an indefinite inner product space
UR - http://eudml.org/doc/76405
ER -

References

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  1. [1] T. Ando, Linear operators on Krein spaces. Lectures Note in Hokkaido Univ., 1979. Zbl0429.47016MR560903
  2. [2] J. Bognar, Indefinite inner product spaces. Berlin, Springer Verlag, 1974. Zbl0286.46028MR467261
  3. [3] H.J. Borchers, Algebraic aspects of Wighttman field theory in Statistical Mechanics and Field Theory Lectures, 1971, New York, Jerusalem, London, 1972. Zbl0264.46061
  4. [4] H.J. Borchers and J. Yungvason, Commun. Math. Phys., t. 42, 1975, p. 231-252. Zbl0307.46053MR377550
  5. [5] Yu. Dadashyan and S.S. Khoruzhii, Theor. Math. Phys., t. 54, 1983, p. 35-48. Zbl0536.47035
  6. [6] O. Bratteli and D.W. Robinson, Operator algebras and quantum statistical mechanics, Berlin, Springer Verlag, 1979. Zbl0421.46048MR545651
  7. [7] S. Gudder and W. Scruggs, Pacific J. Math., t. 70, 1977, p. 369-382. Zbl0374.46045MR482269
  8. [8] U. Haagerup, Ann. Math., t. 118, 1983, p. 215-224. Zbl0543.46033MR717823
  9. [9] A. Inoue and K. Takesue, Trans. Amer. Math., t. 280, 1983, p. 393-400. Zbl0529.47038MR712267
  10. [10] I.S. Iohividov, M.G. Krein and H. Langer, Introduction to the spectral theory of operators in spaces with indefinite metric, Berlin, Akademie Verlag, 1982. Zbl0506.47022MR691137
  11. [11] A.Z. Jadczyk, Rep. Math. Phys., t. 2, 1971, p. 263-276. Zbl0228.47018
  12. [12] L. Jakobczyk, J. Math. Phys., t. 25, 1984, p. 617-622. MR737311
  13. [13] L. Jakobczyk, Ann. Phys., t. 161, 1985, p. 314-336. Zbl0579.46015MR793818
  14. [14] G. Lassner, Rep. Math. Phys., t. 3, 1972, p. 270-293. Zbl0252.46087
  15. [15] N.A. Naimark, Linear representations of the Lorentz groups, London, Pergamon, 1964. 
  16. [16] S. Ôta, Acta Sci. Math. (Szeged), t. 39, 1977, p. 129-133. MR440377
  17. [17] S. Ôta, J. Funct. Anal., t. 30, 1978, p. 238-244. Zbl0388.46040MR515227
  18. [18] S. Ôta, J. Reine Angew. Math., t. 347, 1984, p. 21-32. Zbl0516.46042MR733045
  19. [19] R.S. Phillips, The extension of dual subspaces invariant under algebra. Proc. Inter. Symp. On Linear Spaces. Jerusalem, 1960, p. 366-398. Zbl0115.33003MR133686
  20. [20] R.T. Powers, Commun. Math. Phys., t. 21, 1971, p. 85-124. Zbl0214.14102MR283580
  21. [21] R.T. Powers, Trans. Amer. Math. Soc., t. 187, 1974, p. 261-293. Zbl0296.46059MR333743
  22. [22] S. Sakai, C*-algebras and W*-algebras, Berlin, Springer Verlag, 1971. Zbl0219.46042MR1490835
  23. [23] K. Schmüdgen, Publ. R. I. M. S. (Kyoto), t. 19, 1983, p. 601-671. Zbl0557.47023MR716970
  24. [24] A.N. Vasl'ev, Theor. Math. Phys., t. 2, 1970, p. 113-123. 
  25. [25] A.H. Völkel, J. Math. Phys., t. 26, 1985, p. 2956-2973. Zbl0582.22018MR808512
  26. [26] A.H. Völkel, J. Math. Phys., t. 27, 1986, p. 1113-1127. Zbl0592.22018MR832798
  27. [27] G. Warner, Harmonic analysis on semi-simple Lie groups I, Berlin, Springer Verlag, 1972. Zbl0265.22020MR498999

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