This is a preview of subscription content, log in via an institution to check access.
Bibliography
E. F. Collingwood andA. J. Lohwater,The theory of Cluster Sets, Cambridge University Press, (Cambridge, 1966).
G. L. Csordas,The Silov boundary and a class of functions in H ∞, Thesis, Case Western Reserve University, 1961.
I. Gelfand, D. Raikov andG. Silov, Commutative normed rings,Amer. Math. Soc. Transl., (2)5 (1957), pp. 115–220.
E. W. Hobson,The Theory of Functions of a real variable, Cambridge, 3rd Ed., Vol. I, 1927.
K. Hoffman,Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs (N. J., 1962).
K. Hoffman, Bounded analytic functions and Gleason parts,Ann. of Math.,86 (1967), pp. 79–111.
A. J. Lohwater, On the theorems of Gross and Iversen,J. Analyse Math.,7 (1959–60), pp. 209–221.
I. P. Natanson,Theory of functions of a real variable, Vol. I, Frederick Ungar Publishing Co. (N. Y., 1955).
K. Noshiro,Cluster sets, Springer-Verlag (Berlin-Göttingen-Heidelberg, 1960).
C. E. Rickart,General theory of Banach algebras, Van Nostrand (N. Y., 1960).
I. J. Schark, The maximal ideal in an algebra of bounded analytic functions,J. Math. Mech.,10 (1961), pp. 735–746.
W. Seidel, On the cluster values of analytic functions,Trans. Amer. Math. Soc.,34 (1932), pp. 1–21.
G. Silov, On the decomposition of a commutative normed ring into a direct sum of ideals, (Russian)Mat. Sbornik,32 (1954), pp. 353–364.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Csordas, G.L. A note on the Silov boundary and the cluster sets of a class of functions inH ∞ . Acta Mathematica Academiae Scientiarum Hungaricae 24, 5–11 (1973). https://doi.org/10.1007/BF01894604
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01894604