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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
MathSciNet review:
1285989
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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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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
DOI:
10.1090/S0002-9939-96-03002-X
PII:
S 0002-9939(96)03002-X
Received by editor(s):
June 14, 1994
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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