Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We generalize a result of Walter Rudin about the structure of a compact abelian group G for which C(G) + H∞(G) is a closed subalgebra of L∞(G).
[1]Boas, Ralph PhilipJr, Entire functions (Pure and Applied Mathematics, 5. Academic Press, New York, 1954).Google Scholar
[2]
[2]Hewitt, Edwin, Ross, Kenneth A., Abstract harmonic analysis, Volume II (Die Grundlehren der mathematischen Wissenschaften, 152. Springer-Verlag, Berlin, Heidelberg, New York, 1970).Google Scholar
[3]
[3]Rudin, Walter, Fourier analysis on groups (interscience Tracts in Pure and Applied Mathematics, 12. Interscience [John Wiley & Sons], New York, London, 1962).Google Scholar
[4]
[4]Rudin, Walter, “Spaces of type H∞ + C”, Ann. Inst. Fourier (Grenoble) 25 (1975), 99–125.Google Scholar
[5]
[5]Sarason, Donald, “Algebras of functions on the unit circle”, Bull. Amer. Math. Soc.79 (1973), 286–299.CrossRefGoogle Scholar
[6]
[6]Sarason, Donald, “Functions of vanishing mean oscillation”, Trans. Amer. Math. Soc.207 (1975), 391–405.Google Scholar