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Maximum Modulus Theorems and Schwarz Lemmata for Sequence Spaces

Published online by Cambridge University Press:  20 November 2018

B. L. R. Shawyer
B. L. R. Shawyer*
Affiliation:
Department of Mathematics, The University of Western Ontario, LondonOntario, CanadaN6A 5B9
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In this note, we prove analogues of the classical maximum modulus theorem and Schwarz lemma, for sequence spaces. We begin by stating these two results in a convenient way; that is for the unit disk and functions of bound one.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 593 - 596
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Borwein, D., Personal communication.Google Scholar
2. Veech, W. A.,A second course in complex analysis, W. A. Benjamin Inc., New York, 1967.Google Scholar
3. Zygmund, A., Trigonometric Series, 2nd Edition, Cambridge, 1959, p. 300, Theorem 1.14.Google Scholar