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Existence of measures invariant with respect to a semigroup of continuous open mappings of a locally compact topological space

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References

  1. P. R. Halmos, Measure Theory, Van Nostrand, New York (1950).

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  2. N. Bourbaki, Elements of Mathematics, Integration. Vector Integration. Haar Measure. Convolution and Representation, Herman, Paris (1969).

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  3. V. V. Mukhin, “Invariant measures in semigroups with open translations,” Dokl. Akad. Nauk Belorus SSR,32, No. 4, 301–303 (1983).

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  4. V. V. Mukhin, “Invariant measures and embedding of locally compact semigroups into topological groups,” Dokl. Akad. Nauk USSR,278, No. 5, 1063–1066 (1984).

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Authors and Affiliations

  1. Gomel University, USSR

    V. V. Mukhin

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  1. V. V. Mukhin
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Translated from Matematicheskie Zametki, Vol. 57, No. 3, pp. 415–421, March, 1995.

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Mukhin, V.V. Existence of measures invariant with respect to a semigroup of continuous open mappings of a locally compact topological space. Math Notes 57, 288–291 (1995). https://doi.org/10.1007/BF02303975

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  • DOI: https://doi.org/10.1007/BF02303975

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