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Derivations of Certain Nest-Subalgebras of von Neumann Algerbas

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 43))

Abstract

In their celebrated papers [7] and [5] S. Sakai and R.V. Kadison proved that every derivation of a von Neumann algebra is inner.

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References

  1. Christensen, E.: Derivations of nest algebras, Math. Ann. 229(1977), 155–161.

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  2. Christensen, E.: Extensions of derivations. II, Math. Scand. 50(1982), 111–122.

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  3. Gilfeather, F.; Larson, D.R.: Nest-subalgebras of von Neumann algebras, Adv. in Math. 46(1982), 171–199.

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  5. Kadison, R.V.: Derivations of operator algebras, Ann. of Math. 83(1966), 280--293.

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  6. Pop, F.: Perturbations of nest-subalgebras of von Neumann algebras, J. Operator Theory 21(1989), 139–144.

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  7. Sakai, S.: Derivations of W*-algebras, Ann. of Math. 83(1966), 273–279.

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  8. Sakai, S.: C*-algebras and W*-algebras, Springer Verlag, 1971.

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  9. Strátilă, S.; Zsidó, L.: Lectures on von Neumann algebras, Editura Academiei and Abacus Press, 1979.

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© 1990 Birkhäuser Verlag Basel

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Pop, F. (1990). Derivations of Certain Nest-Subalgebras of von Neumann Algerbas. In: Helson, H., Sz.-Nagy, B., Vasilescu, FH., Arsene, G. (eds) Linear Operators in Function Spaces. Operator Theory: Advances and Applications, vol 43. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7250-8_20

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  • DOI: https://doi.org/10.1007/978-3-0348-7250-8_20

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7252-2

  • Online ISBN: 978-3-0348-7250-8

  • eBook Packages: Springer Book Archive

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