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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

On simultaneous approximation and interpolation which preserves the norm


Authors: Frank Deutsch and Peter D. Morris
Journal: Bull. Amer. Math. Soc. 75 (1969), 812-814
DOI: https://doi.org/10.1090/S0002-9904-1969-12305-0
MathSciNet review: 0244682
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Frank Deutsch, Simultaneous interpolation and approximation in topological linear spaces, SIAM J. Appl. Math. 14 (1966), 1180–1190. MR 0208245, https://doi.org/10.1137/0114095
  • 2. N. Dunford and H. T. Schwartz, Linear operators. Part I: General theory, Interscience, New York, 1958.
  • 3. Ivan Singer, Remarque sur un théorème d’approximation de H. Yamabe, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. 26 (1959), 33–34 (French). MR 0104997
  • 4. J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Third edition. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR 0218587
    J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Fourth edition. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1965. MR 0218588
  • 5. W. Wolibner, Sur un polynôme d’interpolation, Colloquium Math. 2 (1951), 136–137 (French). MR 0043946
  • 6. Hidehiko Yamabe, On an extension of the Helly’s theorem, Osaka Math. J. 2 (1950), 15–17. MR 0039914


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1969-12305-0