Arens algebras, associated with commutative von Neumann algebras

R.Z. Abdullaev; V.I. Chilin

Annales mathématiques Blaise Pascal (1998)

  • Volume: 5, Issue: 1, page 1-12
  • ISSN: 1259-1734

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Abdullaev, R.Z., and Chilin, V.I.. "Arens algebras, associated with commutative von Neumann algebras." Annales mathématiques Blaise Pascal 5.1 (1998): 1-12. <http://eudml.org/doc/79195>.

@article{Abdullaev1998,
author = {Abdullaev, R.Z., Chilin, V.I.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Arens algebras; von Neumann algebras; faithful normal finite trace; space of all -measurable operators},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Arens algebras, associated with commutative von Neumann algebras},
url = {http://eudml.org/doc/79195},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Abdullaev, R.Z.
AU - Chilin, V.I.
TI - Arens algebras, associated with commutative von Neumann algebras
JO - Annales mathématiques Blaise Pascal
PY - 1998
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 5
IS - 1
SP - 1
EP - 12
LA - eng
KW - Arens algebras; von Neumann algebras; faithful normal finite trace; space of all -measurable operators
UR - http://eudml.org/doc/79195
ER -

References

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  1. 1. Arens R.. The space Lω and convex topological rings. Bull. Amer. Math. Soc.1946. v.52 p.931-935. Zbl0060.26901MR17524
  2. 2. Allan G.R.On a class of locally convex algebras. Proc. London Math. Soc.1967. v.17, n.3, p.91-114. Zbl0147.33503MR205102
  3. 3. Bhatt S.J.On Arens algebras LωGlas. Mat.1980, v.15, n.35, p.305-312. Zbl0451.46038MR608880
  4. 4. Bhatt S.J.. On Arens algebras Lω II.Glas. Mat.1981. v.16, n.36, p.297-306. Zbl0483.46034MR653059
  5. 5. Zakirov B.S.. Non-commutative Arens algebras (Russian). Uzbekski Matematicheski Jurnal. 1997. N 1. Zbl0901.46061MR1635069
  6. 6. Vladimirov D.A.The Boolean algebras (Russian). "Nauka".Moskow. 1969. MR263713
  7. 7. Takesaki M.. Theory of operator algebras I. New York. Springer. 1979. 415 p. Zbl0436.46043MR548728
  8. 8. Fack T., Kosaki H.. Generalized s-numbers of τ-measureables operator PacificJ. Math.1986, v.123, p.269-300. Zbl0617.46063MR840845
  9. 9. Inone A.On a class of unbounded operator algebras II. Pacific J.Math.1976, v.66, n.2, p.411-431. Zbl0355.46034MR512383
  10. 10. Chilin V.I., Zakirov B.S.The abstract characterization of EW*-algebras (Russian). Funct. analys i ego prilozh.1991, V.25, p.76-78. Zbl0826.47032MR1113129
  11. 11. Sarymsakov T.A., Ajupov Sh.A., Hadzhiev Dzh., Chilin V.I.The ordered algebras (Russian). Tashkent, "Fan". 1984 Zbl0542.46001
  12. 12. Stratila S., Zsido L.. Lectures on von Neumann algebras. Abacus Press1979, 480 p. Zbl0391.46048MR526399
  13. 13. Naimark M.A.The normed rings (Russian). Moskow, "Nauka". 1968. MR355602
  14. 14. Schaeffer H.H.. Topological vector spaces. Mc. Millan.London. 1966 Zbl0141.30503

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