Pacific Journal of Mathematics

Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos.

Allen R. Bernstein and Abraham Robinson

Article information

Source
Pacific J. Math. Volume 16, Number 3 (1966), 421-431.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
http://projecteuclid.org/euclid.pjm/1102994835

Zentralblatt MATH identifier
0141.12903

Mathematical Reviews number (MathSciNet)
MR0193504

Subjects
Primary: 47.35
Secondary: 02.57

Citation

Bernstein, Allen R.; Robinson, Abraham. Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos. Pacific J. Math. 16 (1966), no. 3, 421--431. http://projecteuclid.org/euclid.pjm/1102994835.


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References

  • [1] N. Aronszajn and K. T. Smith, Invariantsubspaces of completely continuous oper- ators, Annals of Math. 60 (1954), 345-350.
  • [2] P. R. Halmos, A glimpse into Hilbert space, Lectures on Modern Mathematics, Vol. I, New York-London (1963), 1-22.
  • [3] L. Henkin, Completeness in the theory of types, J. Symbolic Logic 15 (1950), 81-91.
  • [4] A. Robinson, Non-standard analysis, Proc. Royal Acad. Sci, Amsterdam, Ser. A
  • [5] A. Robinson,Introductionto model theory and to the metamathematicsofAlgebra, Studies in Logic and the Foundations of Mathematics, Amsterdam, 1963.
  • [6] A. Robinson, On generalized limits and linear functionals,Pacific J. Math. 14 (1964)f 269-283.
  • [7] A. Robinson,Topics in non archimedean Mathematics, Proceedings of the Symposium onModel Theory, Berkeley, 1963. (To be published.)