Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos.
Allen R. Bernstein and Abraham Robinson
Source: Pacific J. Math. Volume 16, Number 3 (1966), 421-431.
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102994835
Zentralblatt MATH identifier:
0141.12903
Mathematical Reviews number (MathSciNet):
MR0193504
References
[1] N. Aronszajn and K. T. Smith, Invariantsubspaces of completely continuous oper- ators, Annals of Math. 60 (1954), 345-350.
Mathematical Reviews (MathSciNet):
MR16:488b
Zentralblatt MATH:
0056.11302
[2] P. R. Halmos, A glimpse into Hilbert space, Lectures on Modern Mathematics, Vol. I, New York-London (1963), 1-22.
Mathematical Reviews (MathSciNet):
MR31:2588
Zentralblatt MATH:
0131.12201
[3] L. Henkin, Completeness in the theory of types, J. Symbolic Logic 15 (1950), 81-91.
Mathematical Reviews (MathSciNet):
MR12:70b
Zentralblatt MATH:
0039.00801
[4] A. Robinson, Non-standard analysis, Proc. Royal Acad. Sci, Amsterdam, Ser. A
Zentralblatt MATH:
1015.03062
[5] A. Robinson,Introductionto model theory and to the metamathematicsofAlgebra, Studies in Logic and the Foundations of Mathematics, Amsterdam, 1963.
Mathematical Reviews (MathSciNet):
MR27:3533
Zentralblatt MATH:
0153.31502
[6] A. Robinson, On generalized limits and linear functionals,Pacific J. Math. 14 (1964)f 269-283.
Mathematical Reviews (MathSciNet):
MR29:1534
Zentralblatt MATH:
0121.09502
[7] A. Robinson,Topics in non archimedean Mathematics, Proceedings of the Symposium onModel Theory, Berkeley, 1963. (To be published.)
Zentralblatt MATH:
0156.25004
Pacific Journal of Mathematics
