On kernel representation of linear operators
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- by Dorothy Maharam PDF
- Trans. Amer. Math. Soc. 79 (1955), 229-255 Request permission
References
- Paul Erdős and John C. Oxtoby, Partitions of the plane into sets having positive measure in every non-null measurable product set, Trans. Amer. Math. Soc. 79 (1955), 91–102. MR 72928, DOI 10.1090/S0002-9947-1955-0072928-3
- L. Kantorovitch, Linear operations in semi-ordered spaces. I, Rec. Math. [Mat. Sbornik] N.S. 7 (49) (1940), 209–284 (English, with Russian summary). MR 0004091 L. Kantorovitch and B. Vulich, Sur la représentation des opérations linéaìres, Compositio Math. vol. 5 (1937-38) pp. 119-165.
- Dorothy Maharam, The representation of abstract measure functions, Trans. Amer. Math. Soc. 65 (1949), 279–330. MR 28923, DOI 10.1090/S0002-9947-1949-0028923-0
- 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 F. Riesz and B. Sz. Nagy, Leçons d’analyse fonctionelle, Budapest, 1952.
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 79 (1955), 229-255
- MSC: Primary 46.0X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0069396-4
- MathSciNet review: 0069396