Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:24
Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions

Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions

Authors : C ULUÇAY

Pages : 0-0

Doi:10.1501/Commua1_0000000260

View : 40 | Download : 9

Publication Date : 1975-01-01

Article Type : Research Paper

Abstract :It is shown among others that if D is a region insert ignore into journalissuearticles values(öpen connected set); in the complex plane and Cinsert ignore into journalissuearticles values(D); the algehra of continuous complex functions on Dwith the property that for every m em ber/c C insert ignore into journalissuearticles values(D); and every closed disc M7 in D, ||/||^ r = ||/ ||g ^ then any two such regions are conformally equivalent. Moreover ev ery /is analytic.
Keywords : Theorem, Continuous, Functions

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