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References
A. BERNSTEIN, Invariant subspaces for linear operators, doctoral dissertation, U.C.L.A. 1965, unpublished.
—, Invariant subspaces of polynomially compact operators on Banach space, Pac. J. of Math., 21(1967), pp. 445–463.
—, A non-standard integration theory for unbounded functions, University of Maryland Technical Report, TR 71-50, 1971.
—, Invariant subspaces for certain commuting operators on Hilbert space, Annals of Math., 95(1972), pp. 253–260.
A. BERNSTEIN and A. ROBINSON, Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos, Pac. J. of Math., 16(1966), pp. 421–431.
A. BERNSTEIN and F. WATTENBERG, Non-Standard Measure Theory, Applications of Model Theory to Algebra, Analysis and Probability, ed. W. A. J. Luxemburg, Holt, Rinehart and Winston, 1969.
C. HENSON, On the non-standard representation of measures, Trans. Amer. Math. Soc., 172, October, 1972, pp. 437–446.
P. A. LOEB, A non-standard representation of measurable spaces and L∞, Bull. Amer. Math. Soc., 77, No. 4, July 1971, pp. 540–544.
—, A non-standard representation of measurable spaces, L∞ and L *∞ , Contributions to Non-Standard Analysis, Ed. by W. A. J. Lexemburg and A. Robinson, North-Holland, 1972, pp. 65–80.
—, A non-standard representation of Borel measures and σ-finite measures, this volume.
A. ROBINSON, Non-Standard Analysis, North Holland, Amsterdam, 1966.
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Bernstein, A.R., Loeb, P.A. (1974). A non-standard integration theory for unbounded functions. In: Hurd, A., Loeb, P. (eds) Victoria Symposium on Nonstandard Analysis. Lecture Notes in Mathematics, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065998
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DOI: https://doi.org/10.1007/BFb0065998
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