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This talk discusses conditions on the numerical range
of a holomorphic function defined on a bounded convex domain in
a complex Banach space that imply that the function has a unique
fixed point. In particular, extensions of the Earle-Hamilton Theorem
are given for such domains. The theorems are applied to
obtain a quantitative version of the inverse function theorem for
holomorphic functions and a distortion form of Cartan’s uniqueness
theorem.
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참고문헌 (23)
참고문헌 신청
/ / Schwarzs lemma andthe Kobayashi and Caratheodory metrics on complex Banach manifolds
/ 1939. / The Theory of Functions
/ 1943 / Topological properties of the unit sphere of a Hilbert space 19
/ 1961 / Semi-inner-product spaces 100 : 2943 ~
/ 1970 / A xed point theorem for holomorphic mappings 16 : 6165 ~
/ 1939. / The Theory of Functions
/ 1943 / Topological properties of the unit sphere of a Hilbert space 19
/ 1961 / Semi-inner-product spaces 100 : 2943 ~
/ 1970 / A xed point theorem for holomorphic mappings 16 : 6165 ~
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