论文信息 - A Sneaky Proof of the Maximum Modulus Principle - 字舞流文

A Sneaky Proof of the Maximum Modulus Principle

Abstract A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra.

Orr Shalit | O. Shalit

[1] H. Hochstadt. Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable; 3rd ed. (Lars V. Ahlfors) , 1980 .

[2] E. Scheinerman,et al. Fractional Graph Theory: A Rational Approach to the Theory of Graphs , 1997 .

[3] I. Gohberg,et al. Basic Operator Theory , 1981 .

[4] T. Broadbent. Complex Variables , 1970, Nature.

[5] Steven G. Krantz,et al. Function Theory of One Complex Variable , 2002 .

[6] J. Clunie. Analytic Functions , 1962, Nature.

[7] J. W. Brown,et al. Complex Variables and Applications , 1985 .

[8] Ron Aharoni,et al. LP duality in infinite hypergraphs , 1990, J. Comb. Theory, Ser. B.

[9] John E. McCarthy,et al. Unitary N-dilations for tuples of commuting matrices , 2011, 1105.2020.

[10] S. Lang. Complex Analysis , 1977 .

[11] Eliahu Levy,et al. Dilation theory in finite dimensions: the possible, the impossible and the unknown , 2010, 1012.4514.

[12] W. Burnside. Theory of Functions , 1899, Nature.