Measures orthogonal to algebras and sets of antisymmetry
HTML articles powered by AMS MathViewer
- by Irving Glicksberg
- Trans. Amer. Math. Soc. 105 (1962), 415-435
- DOI: https://doi.org/10.1090/S0002-9947-1962-0173957-5
- PDF | Request permission
References
- H. S. Bear, Some boundary properties of function algebras, Proc. Amer. Math. Soc. 11 (1960), 1–4. MR 113152, DOI 10.1090/S0002-9939-1960-0113152-2
- Errett Bishop and Karel de Leeuw, The representations of linear functionals by measures on sets of extreme points, Ann. Inst. Fourier (Grenoble) 9 (1959), 305–331. MR 114118
- Errett Bishop, A minimal boundary for function algebras, Pacific J. Math. 9 (1959), 629–642. MR 109305
- Errett Bishop, A generalization of the Stone-Weierstrass theorem, Pacific J. Math. 11 (1961), 777–783. MR 133676
- Errett Bishop, A general Rudin-Carleson theorem, Proc. Amer. Math. Soc. 13 (1962), 140–143. MR 133462, DOI 10.1090/S0002-9939-1962-0133462-4
- Louis de Branges, The Stone-Weierstrass theorem, Proc. Amer. Math. Soc. 10 (1959), 822–824. MR 113131, DOI 10.1090/S0002-9939-1959-0113131-7
- Andrew Browder and John Wermer, Some algebras of functions on an arc, J. Math. Mech. 12 (1963), 119–130. MR 0144223
- Lennart Carleson, Representations of continuous functions, Math. Z. 66 (1957), 447–451. MR 84035, DOI 10.1007/BF01186621 N. Dunford and J. Schwartz, Linear operators. I, Interscience, New York, 1958.
- K. Hoffman and I. M. Singer, Maximal algebras of continuous functions, Acta Math. 103 (1960), 217–241. MR 117540, DOI 10.1007/BF02546357 A. M. Gleason, Function algebras, Seminars on Analytic Functions, Vol. 2, pp. 213-226, Institute for Advanced Study, Princeton, N. J., 1957.
- L. H. Loomis, The spectral characterization of a class of almost periodic functions, Ann. of Math. (2) 72 (1960), 362–368. MR 120502, DOI 10.2307/1970139
- Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
- Walter Rudin, Boundary values of continuous analytic functions, Proc. Amer. Math. Soc. 7 (1956), 808–811. MR 81948, DOI 10.1090/S0002-9939-1956-0081948-0
- Walter Rudin, Continuous functions on compact spaces without perfect subsets, Proc. Amer. Math. Soc. 8 (1957), 39–42. MR 85475, DOI 10.1090/S0002-9939-1957-0085475-7
- G. E. Šilov, On rings of functions with uniform convergence, Ukrain. Mat. Žurnal 3 (1951), 404–411 (Russian). MR 0054178
- John Wermer, Dirichlet algebras, Duke Math. J. 27 (1960), 373–381. MR 121671
Bibliographic Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 105 (1962), 415-435
- MSC: Primary 46.55
- DOI: https://doi.org/10.1090/S0002-9947-1962-0173957-5
- MathSciNet review: 0173957