Proceedings of the Japan Academy, Series A, Mathematical Sciences

A theorem of Helson and Sarason in uniform algebras

Yoshiki Ohno and Kôzô Yabuta

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 4 (1979), 128-131.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195517350

Digital Object Identifier
doi:10.3792/pjaa.55.128

Mathematical Reviews number (MathSciNet)
MR533706

Zentralblatt MATH identifier
0433.46047

Subjects
Primary: 46J10: Banach algebras of continuous functions, function algebras [See also 46E25]

Citation

Ohno, Yoshiki; Yabuta, Kôzô. A theorem of Helson and Sarason in uniform algebras. Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), no. 4, 128--131. doi:10.3792/pjaa.55.128. https://projecteuclid.org/euclid.pja/1195517350


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References

  • T. W. Gamelin: Hp spaces and extremal functions in H1. Trans. Amer. Math. Soc, 124, 158-167 (1966).
  • T. W. Gamelin: Uniform Algebras. Prentice-Hall, Englewood Cliffs, New Jersey (1969).
  • H. Helson and D. Sarason: Past and Future. Math. Scand., 21, 5-16 (1967).
  • Y. Ohno: Remarks on Helson-Szego problems. Tohoku Math. J., 18, 54-59 (1966).
  • Y. Ohno: Helson-Szego-Sarason theorem for Dirichlet algebras. Tohoku Math. J., 31, 71-79 (1979).
  • W. Rudin: Spaces of type H°°+C. Ann. Inst. Fourier, Grenoble, 25, 99-125 (1975).
  • D. Sarason: An addendum to "Past and Future". Math. Scan., 30, 62-64 (1972).
  • T. P. Srinivasan and J. Wang: Weak*-Dirichlet algebras. Function Algebras (Tulane, 1965), Scott Foresman, Chicago, pp. 216-249 (1966).
  • K. Yabuta: A note on extremum problems in abstract Hardy spaces. Arch. Math., 23, 54-57 (1972).
  • K. Yabuta: On bounded functions in the abstract Hardy space theory. IL Tohoku Math. J., 26, 513-533 (1974).