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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Operator-valued typically real functions
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by Ky Fan PDF
Proc. Amer. Math. Soc. 124 (1996), 765-771 Request permission

Abstract:

Generalizing the classical typically real functions in complex analysis, we introduce the operator-valued typically real functions and show how to construct these functions.
References
  • Peter L. Duren, Univalent functions, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 259, Springer-Verlag, New York, 1983. MR 708494
  • M. Naimark, Positive definite operator functions on a commutative group, Izv. Akad. Nauk SSSR Math. Ser. 7 (1943), 237–244.
  • Christian Pommerenke, Univalent functions, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. With a chapter on quadratic differentials by Gerd Jensen. MR 0507768
  • W. Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z. 35 (1932), 93–121.
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Additional Information
  • Ky Fan
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
  • Address at time of publication: 1402 Santa Teresita Drive, Santa Barbara, California 93105-1948
  • Received by editor(s): June 14, 1994
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 765-771
  • MSC (1991): Primary 30-XX, 47-XX
  • DOI: https://doi.org/10.1090/S0002-9939-96-03002-X
  • MathSciNet review: 1285989