Restrictions of subspaces of $C(X)$
HTML articles powered by AMS MathViewer
- by T. W. Gamelin
- Trans. Amer. Math. Soc. 112 (1964), 278-286
- DOI: https://doi.org/10.1090/S0002-9947-1964-0162132-8
- PDF | Request permission
References
- 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
- Errett Bishop, A generalization of the Stone-Weierstrass theorem, Pacific J. Math. 11 (1961), 777–783. MR 133676, DOI 10.2140/pjm.1961.11.777
- Lennart Carleson, Representations of continuous functions, Math. Z. 66 (1957), 447–451. MR 84035, DOI 10.1007/BF01186621
- 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 N. Dunford and J. Schwartz, Linear operators. Part I, Interscience, New York, 1958.
- Irving Glicksberg, Measures orthogonal to algebras and sets of antisymmetry, Trans. Amer. Math. Soc. 105 (1962), 415–435. MR 173957, DOI 10.1090/S0002-9947-1962-0173957-5
- I. Glicksberg, Function algebras with closed restrictions, Proc. Amer. Math. Soc. 14 (1963), 158–161. MR 143050, DOI 10.1090/S0002-9939-1963-0143050-2
- Kenneth Hoffman, Analytic functions and logmodular Banach algebras, Acta Math. 108 (1962), 271–317. MR 149330, DOI 10.1007/BF02545769 —, Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, N. J, 1961.
- 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
- G. E. Šilov, On rings of functions with uniform convergence, Ukrain. Mat. Žurnal 3 (1951), 404–411 (Russian). MR 0054178
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 112 (1964), 278-286
- MSC: Primary 46.25; Secondary 46.55
- DOI: https://doi.org/10.1090/S0002-9947-1964-0162132-8
- MathSciNet review: 0162132