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Operator-valued typically real functions

Author(s): Ky Fan
Journal: Proc. Amer. Math. Soc. 124 (1996), 765-771.
MSC (1991): Primary 30-XX, 47-XX
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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:

[1]: P. L. Duren, Univalent functions, Springer-Verlag, New York, 1983. MR 85j:30034
[2]: M. Naimark, Positive definite operator functions on a commutative group, Izv. Akad. Nauk SSSR Math. Ser. 7 (1943), 237--244.
[3]: Ch. Pommerenke, Univalent functions, Vandenhoeck-Ruprecht, Göttingen, 1975. MR 58:22526
[4]: W. Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z. 35 (1932), 93--121.


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