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Communications in Mathematical Physics

, Volume 7, Issue 3, pp 222–224 | Cite as

Sequential convergence in the dual of aW*-algebra

  • Charles A. Akemann
Article

Abstract

The present paper is the result of the author's attempt to extend Theorem 9 of [5] to the case of a non-abelianW*-algebra. In [5]Grothendieck proves that weak and weak* convergence are equivalent for sequences in the dual space of an abelianW*-algebra. Theorem 4 of the present paper is only a partial result in that direction, but it is presented here because of its possible worth as a technical tool.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Bibliography

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Copyright information

© Springer-Verlag 1968

Authors and Affiliations

  • Charles A. Akemann
    • 1
  1. 1.Dept. of MathematicsUniv. of PennsylvaniaUSA

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