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Partially ordered groups of continuous functions

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Bibliography

  1. Fan, Ky: Partially ordered additive groups of continuous functions. Ann. Math.51, 409–427 (1950).

    Google Scholar 

  2. Fleischer, I.: Functional representation of partially ordered groups. Ann. Math.64, 260–263 (1956).

    Google Scholar 

  3. Gillman, L., andM. Jerison: Rings of continuous functions. Princeton, N. J.: D. Van Nostrand 1960.

    Google Scholar 

  4. Kadison, R. V.: A representation theory for commutative topological algebra. Mem. Am. Math. Soc.7 (1951).

  5. Katětov, M.: A theorem on the Lebesgue dimension. Časopis Pěst. Mat. Fys.75, 79–87 (1950).

    Google Scholar 

  6. Stone, M. H.: The generalized Weierstrass approximation theorem. Math. Mag.21, 167–183, 237–254 (1947–1948).

    Google Scholar 

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Submitted in partial fulfillment of the requirements for the Doctor of Philosophy degree at the University of Notre Dame. The author would like to thank Prof.Ky Fan for his guidance and aid in preparing this paper. The work was undertaken while the author held a National Science Foundation graduate fellowship.

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Cantwell, J. Partially ordered groups of continuous functions. Math. Ann. 151, 252–261 (1963). https://doi.org/10.1007/BF01398236

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