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Article

Title: Affine images of certain sets of measures (English)
Author: Collins, Heron Sherwood
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 18
Issue: 1
Year: 1968
Pages: 57-65
Summary lang: Russian
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Category: math
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MSC: 46.25
idZBL: Zbl 0179.18703
idMR: MR0223866
DOI: 10.21136/CMJ.1968.100811
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Date available: 2008-06-09T13:35:36Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100811
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Reference: [2] H. Bauer: Kennzeichnung kompakter Simplexe mit abgeschlossener Extremalpunktmenge.Archiv der Mathematik, vol. 14 (1963), pp. 415-421. Zbl 0196.42202, MR 0164053, 10.1007/BF01234978
Reference: [3] E. Bishop, K. de Leeuw: The representations of linear functional by measures on sets of extreme points.Ann. Inst. Fourier, vol. 9 (1959), pp. 305 - 331. MR 0114118, 10.5802/aif.95
Reference: [4] H. S. Collins: Characterizations of convolution semigroups of measures.Pacific J. of Math., vol. 14 (1964), pp. 479-492. Zbl 0163.37402, MR 0166327, 10.2140/pjm.1964.14.479
Reference: [5] Nelson Dunford, J. T. Schwartz: Linear operators.vol. 1, Interscience Publishers, 1958. MR 0117523
Reference: [6] I. Glicksberg: Convolution semigroups of measures.Pacific J. of Math., vol. 9 (1959), pp. 51-67. Zbl 0088.02903, MR 0108690, 10.2140/pjm.1959.9.51
Reference: [7] J. L. Kelley, R. Arens: Characterizations of the space of continuous functions over a compact Hausdorff space.Trann. Amer. Math. Soc., vol. 62 (1947), pp. 499 - 508. Zbl 0032.03202, MR 0022999
Reference: [8] L. H. Loomis: Unique direct integral decompositions on convex sets.Amer. J. Math., vol. 86 (1962), pp. 509-526. Zbl 0124.32101, MR 0145038, 10.2307/2372987
Reference: [9] M. A. Naimark: Normed Rings.P. Noordhoff N. V., 1959. Zbl 0089.10102, MR 0110956
Reference: [10] F. B. Wright: Generalized means.Trans. Amer. Math. Soc., vol. 98 (1961), pp. 187-203. Zbl 0122.35005, MR 0154107, 10.1090/S0002-9947-1961-0154107-7
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