Invariant measures and Radon-Nikodym derivatives
HTML articles powered by AMS MathViewer
- by Dorothy Maharam
- Trans. Amer. Math. Soc. 135 (1969), 223-248
- DOI: https://doi.org/10.1090/S0002-9947-1969-0232914-7
- PDF | Request permission
References
- L. K. Arnold, On $\sigma$-finite invariant measures, Abstract 632-8, Notices Amer. Math. Soc. 13 (1966), 326.
- Alberto P. Calderón, Sur les mesures invariantes, C. R. Acad. Sci. Paris 240 (1955), 1960–1962 (French). MR 69257
- Yael Naim Dowker, Finite and $\sigma$-finite invariant measures, Ann. of Math. (2) 54 (1951), 595–608. MR 45193, DOI 10.2307/1969491
- Yael Naim Dowker, On measurable transformations in finite measure spaces, Ann. of Math. (2) 62 (1955), 504–516. MR 72929, DOI 10.2307/1970076
- Yael Naim Dowker, Sur les applications mesurables, C. R. Acad. Sci. Paris 242 (1956), 329–331 (French). MR 74486
- Paul R. Halmos, An ergodic theorem, Proc. Nat. Acad. Sci. U.S.A. 32 (1946), 156–161. MR 16555, DOI 10.1073/pnas.32.5.156
- Paul R. Halmos, Invariant measures, Ann. of Math. (2) 48 (1947), 735–754. MR 21963, DOI 10.2307/1969138
- Paul R. Halmos and John von Neumann, Operator methods in classical mechanics. II, Ann. of Math. (2) 43 (1942), 332–350. MR 6617, DOI 10.2307/1968872
- Konrad Jacobs, Neuere Methoden und Ergebnisse der Ergodentheorie, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 29, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960 (German). MR 0123676, DOI 10.1007/978-3-642-94777-3
- Dorothy Maharam, Decompositions of measure algebras and spaces, Trans. Amer. Math. Soc. 69 (1950), 142–160. MR 36817, DOI 10.1090/S0002-9947-1950-0036817-8
- Dorothy Maharam, The representation of abstract integrals, Trans. Amer. Math. Soc. 75 (1953), 154–184. MR 55421, DOI 10.1090/S0002-9947-1953-0055421-1
- D. Maharam, Incompressible transformations, Fund. Math. 56 (1964), 35–50. MR 169988, DOI 10.4064/fm-56-1-35-50
- Dorothy Maharam, On the Radon-Nikodým derivatives of measurable transformations, Trans. Amer. Math. Soc. 122 (1966), 229–248. MR 188399, DOI 10.1090/S0002-9947-1966-0188399-X F. V. Širikov, Solution of a problem of Halmos, Uspehi Mat. Nauk 15 (1960), 185-192 = Amer. Math. Soc. Transl. (2) 29 (1963), 247-254.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 135 (1969), 223-248
- MSC: Primary 28.75
- DOI: https://doi.org/10.1090/S0002-9947-1969-0232914-7
- MathSciNet review: 0232914