- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 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 : 6 | Download : 4
Publication Date : 1975-01-01
Article Type : Research
Abstract :It is shown among others that if D is a region (öpen connected set) in the complex plane and C(D) the algehra of continuous complex functions on Dwith the property that for every m em ber/c C (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