The structure of convolution measure algebras
Author:
Joseph L. Taylor
Journal:
Trans. Amer. Math. Soc. 119 (1965), 150-166
MSC:
Primary 46.80; Secondary 42.56
DOI:
https://doi.org/10.1090/S0002-9947-1965-0185465-9
MathSciNet review:
0185465
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References | Similar Articles | Additional Information
- Richard Arens and I. M. Singer, Generalized analytic functions, Trans. Amer. Math. Soc. 81 (1956), 379–393. MR 78657, DOI https://doi.org/10.1090/S0002-9947-1956-0078657-5
- F. Cunningham Jr., $L$-structure in $L$-spaces, Trans. Amer. Math. Soc. 95 (1960), 274–299. MR 115084, DOI https://doi.org/10.1090/S0002-9947-1960-0115084-7
- Shizuo Kakutani, Concrete representation of abstract $(L)$-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523–537. MR 4095, DOI https://doi.org/10.2307/1968915
- Pasquale Porcelli, Two embedding theorems with applications to weak convergence and compactness in spaces of additive type functions, J. Math. Mech. 9 (1960), 273–292. MR 0124723, DOI https://doi.org/10.1512/iumj.1960.9.59016
- Marc A. Rieffel, A characterization of commutative group algebras and measure algebras, Bull. Amer. Math. Soc. 69 (1963), 812–814. MR 154141, DOI https://doi.org/10.1090/S0002-9904-1963-11044-7
- Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley and Sons), New York-London, 1962. MR 0152834
- Walter Rudin, Measure algebras on abelian groups, Bull. Amer. Math. Soc. 65 (1959), 227–247. MR 108689, DOI https://doi.org/10.1090/S0002-9904-1959-10322-0
- Arthur B. Simon, Symmetry in measure algebras, Bull. Amer. Math. Soc. 66 (1960), 399–400. MR 119042, DOI https://doi.org/10.1090/S0002-9904-1960-10473-9 Y. Šreĭder, The structure of maximal ideals in rings of measures with convolution, Amer. Math. Soc. Transl. (1) 8 (1962), 365-391.
- Karl Stromberg, A note on the convolution of regular measures, Math. Scand. 7 (1959), 347–352. MR 114889, DOI https://doi.org/10.7146/math.scand.a-10580
- Joseph L. Taylor, The structure of convolution measure algebras, Trans. Amer. Math. Soc. 119 (1965), 150–166. MR 185465, DOI https://doi.org/10.1090/S0002-9947-1965-0185465-9
- A. D. Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95–112. MR 67907, DOI https://doi.org/10.1090/S0002-9904-1955-09895-1
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Article copyright:
© Copyright 1965
American Mathematical Society